156358742400 has 1152 divisors, whose sum is σ = 666745896960. Its totient is φ = 34139750400.

The previous prime is 156358742399. The next prime is 156358742459. The reversal of 156358742400 is 4247853651.

156358742400 is a `hidden beast` number, since 1 + 5 + 63 + 587 + 4 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 793699102 + ... + 793699298.

It is an arithmetic number, because the mean of its divisors is an integer number (578772480).

Almost surely, 2^156358742400 is an apocalyptic number.

156358742400 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 156358742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333372948480).

156358742400 is an abundant number, since it is smaller than the sum of its proper divisors (510387154560).

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

156358742400 is a wasteful number, since it uses less digits than its factorization.

156358742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 156358742400 in words is "one hundred fifty-six billion, three hundred fifty-eight million, seven hundred forty-two thousand, four hundred".