152051900 has 288 divisors, whose sum is σ = 466636800. Its totient is φ = 42336000.

The previous prime is 152051891. The next prime is 152051917. The reversal of 152051900 is 9150251.

152051900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152051900² = 46239560587220000, which contains 22 as substring.

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, 4904885 + ... + 4904915.

Almost surely, 2^152051900 is an apocalyptic number.

152051900 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 152051900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233318400).

152051900 is an abundant number, since it is smaller than the sum of its proper divisors (314584900).

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

152051900 is a wasteful number, since it uses less digits than its factorization.

152051900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 152051900 is about 12330.9326492362. The cubic root of 152051900 is about 533.7410640804.

The spelling of 152051900 in words is "one hundred fifty-two million, fifty-one thousand, nine hundred".