148361400 has 288 divisors, whose sum is σ = 557107200. Its totient is φ = 35078400.

The previous prime is 148361393. The next prime is 148361407. The reversal of 148361400 is 4163841.

148361400 is a `hidden beast` number, since 1 + 48 + 3 + 614 + 0 + 0 = 666.

148361400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148361393) and next prime (148361407).

It is a super-2 number, since 2×148361400² = 44022210019920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148361407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1168137 + ... + 1168263.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 2^148361400 is an apocalyptic number.

148361400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

148361400 is an abundant number, since it is smaller than the sum of its proper divisors (408745800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148361400 is a wasteful number, since it uses less digits than its factorization.

148361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 148361400 is about 12180.3694525248. The cubic root of 148361400 is about 529.3874494279.

The spelling of 148361400 in words is "one hundred forty-eight million, three hundred sixty-one thousand, four hundred".