139214400 has 336 divisors, whose sum is σ = 518550144. Its totient is φ = 32440320.

The previous prime is 139214399. The next prime is 139214407. The reversal of 139214400 is 4412931.

It is a super-3 number, since 3×139214400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (139214407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1435152 + ... + 1435248.

It is an arithmetic number, because the mean of its divisors is an integer number (1543304).

Almost surely, 2^139214400 is an apocalyptic number.

139214400 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 139214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259275072).

139214400 is an abundant number, since it is smaller than the sum of its proper divisors (379335744).

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

139214400 is a wasteful number, since it uses less digits than its factorization.

139214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 139214400 is about 11798.9152043737. The cubic root of 139214400 is about 518.2763441536.

The spelling of 139214400 in words is "one hundred thirty-nine million, two hundred fourteen thousand, four hundred".