152357990400 has 1872 divisors, whose sum is σ = 722516970240. Its totient is φ = 29727129600.

The previous prime is 152357990399. The next prime is 152357990443. The reversal of 152357990400 is 4099753251.

It is a happy number.

152357990400 is a `hidden beast` number, since 1 + 5 + 235 + 7 + 9 + 9 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1348300744 + ... + 1348300856.

It is an arithmetic number, because the mean of its divisors is an integer number (385959920).

Almost surely, 2^152357990400 is an apocalyptic number.

152357990400 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 152357990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361258485120).

152357990400 is an abundant number, since it is smaller than the sum of its proper divisors (570158979840).

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

152357990400 is a wasteful number, since it uses less digits than its factorization.

152357990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 152357990400 in words is "one hundred fifty-two billion, three hundred fifty-seven million, nine hundred ninety thousand, four hundred".