152361900 has 216 divisors, whose sum is σ = 508411904. Its totient is φ = 38102400.

The previous prime is 152361889. The next prime is 152361917. The reversal of 152361900 is 9163251.

152361900 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 2×152361900² = 46428297143220000, 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 71 ways as a sum of consecutive naturals, for example, 1199637 + ... + 1199763.

Almost surely, 2^152361900 is an apocalyptic number.

152361900 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 152361900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254205952).

152361900 is an abundant number, since it is smaller than the sum of its proper divisors (356050004).

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

152361900 is a wasteful number, since it uses less digits than its factorization.

152361900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 152361900 is about 12343.4962632149. The cubic root of 152361900 is about 534.1035442859.

The spelling of 152361900 in words is "one hundred fifty-two million, three hundred sixty-one thousand, nine hundred".