152951198400 has 2352 divisors, whose sum is σ = 763411638528. Its totient is φ = 29113344000.

The previous prime is 152951198381. The next prime is 152951198417. The reversal of 152951198400 is 4891159251.

152951198400 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 51 + 198 + 400 = 666.

152951198400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1167566335 + ... + 1167566465.

Almost surely, 2^152951198400 is an apocalyptic number.

152951198400 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 152951198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381705819264).

152951198400 is an abundant number, since it is smaller than the sum of its proper divisors (610460440128).

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

152951198400 is a wasteful number, since it uses less digits than its factorization.

152951198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 152951198400 in words is "one hundred fifty-two billion, nine hundred fifty-one million, one hundred ninety-eight thousand, four hundred".