152925300 has 288 divisors, whose sum is σ = 566630400. Its totient is φ = 34992000.

The previous prime is 152925247. The next prime is 152925317. The reversal of 152925300 is 3529251.

152925300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152925300² = 46772294760180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564165 + ... + 564435.

Almost surely, 2^152925300 is an apocalyptic number.

152925300 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 152925300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283315200).

152925300 is an abundant number, since it is smaller than the sum of its proper divisors (413705100).

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

152925300 is a wasteful number, since it uses less digits than its factorization.

152925300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 152925300 is about 12366.2969396663. The cubic root of 152925300 is about 534.7610660437.

The spelling of 152925300 in words is "one hundred fifty-two million, nine hundred twenty-five thousand, three hundred".