152978630400 has 864 divisors, whose sum is σ = 595885194240. Its totient is φ = 38320128000.

The previous prime is 152978630369. The next prime is 152978630411. The reversal of 152978630400 is 4036879251.

152978630400 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 7 + 8 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×152978630400² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242438085 + ... + 242438715.

It is a 1-persistent number, because it is pandigital, but 2⋅152978630400 = 305957260800 is not.

Almost surely, 2^152978630400 is an apocalyptic number.

152978630400 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 152978630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297942597120).

152978630400 is an abundant number, since it is smaller than the sum of its proper divisors (442906563840).

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

152978630400 is a wasteful number, since it uses less digits than its factorization.

152978630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 152978630400 in words is "one hundred fifty-two billion, nine hundred seventy-eight million, six hundred thirty thousand, four hundred".