157197438720 has 1728 divisors, whose sum is σ = 709684125696. Its totient is φ = 32487505920.

The previous prime is 157197438719. The next prime is 157197438781. The reversal of 157197438720 is 27834791751.

157197438720 is a `hidden beast` number, since 1 + 57 + 1 + 97 + 438 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×157197438720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1147426492 + ... + 1147426628.

It is an arithmetic number, because the mean of its divisors is an integer number (410696832).

Almost surely, 2^157197438720 is an apocalyptic number.

157197438720 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 157197438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354842062848).

157197438720 is an abundant number, since it is smaller than the sum of its proper divisors (552486686976).

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

157197438720 is a wasteful number, since it uses less digits than its factorization.

157197438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 157197438720 in words is "one hundred fifty-seven billion, one hundred ninety-seven million, four hundred thirty-eight thousand, seven hundred twenty".