157297158144 has 768 divisors, whose sum is σ = 560903616000. Its totient is φ = 43141496832.

The previous prime is 157297158127. The next prime is 157297158167. The reversal of 157297158144 is 441851792751.

157297158144 is a `hidden beast` number, since 1 + 57 + 2 + 9 + 7 + 1 + 581 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

Its product of digits (2822400) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 909232042 + ... + 909232214.

It is an arithmetic number, because the mean of its divisors is an integer number (730343250).

Almost surely, 2^157297158144 is an apocalyptic number.

157297158144 is a gapful number since it is divisible by the number (14) 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 157297158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280451808000).

157297158144 is an abundant number, since it is smaller than the sum of its proper divisors (403606457856).

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

157297158144 is an frugal number, since it uses more digits than its factorization.

157297158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 214 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The spelling of 157297158144 in words is "one hundred fifty-seven billion, two hundred ninety-seven million, one hundred fifty-eight thousand, one hundred forty-four".