157196390400 has 1053 divisors, whose sum is σ = 666258487401. Its totient is φ = 35321610240.

The previous prime is 157196390359. The next prime is 157196390401. The reversal of 157196390400 is 4093691751.

The square root of 157196390400 is 396480.

It is a perfect power (a square), and thus also a powerful number.

157196390400 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 9 + 639 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56590700544 + 100605689856 = 237888^2 + 317184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (157196390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2664345571 + ... + 2664345629.

Almost surely, 2^157196390400 is an apocalyptic number.

157196390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157196390400 is the 396480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157196390400

157196390400 is an abundant number, since it is smaller than the sum of its proper divisors (509062097001).

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

157196390400 is an equidigital number, since it uses as much as digits as its factorization.

157196390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 157196390400 in words is "one hundred fifty-seven billion, one hundred ninety-six million, three hundred ninety thousand, four hundred".