152010400 has 72 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 60322560.

The previous prime is 152010389. The next prime is 152010407. The reversal of 152010400 is 4010251.

152010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152010407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110517 + ... + 111883.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^152010400 is an apocalyptic number.

152010400 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 152010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

152010400 is an abundant number, since it is smaller than the sum of its proper divisors (222028160).

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

152010400 is a wasteful number, since it uses less digits than its factorization.

152010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 152010400 is about 12329.2497744186. The cubic root of 152010400 is about 533.6925011234.

Adding to 152010400 its reverse (4010251), we get a palindrome (156020651).

The spelling of 152010400 in words is "one hundred fifty-two million, ten thousand, four hundred".