157137068213424 has 1600 divisors, whose sum is σ = 535867711160320. Its totient is φ = 44087098245120.

The previous prime is 157137068213347. The next prime is 157137068213441. The reversal of 157137068213424 is 424312860731751.

157137068213424 is a `hidden beast` number, since 1 + 5 + 7 + 137 + 0 + 6 + 82 + 1 + 3 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 105531945672 + ... + 105531947160.

Almost surely, 2^{157137068213424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157137068213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267933855580160).

157137068213424 is an abundant number, since it is smaller than the sum of its proper divisors (378730642946896).

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

157137068213424 is a wasteful number, since it uses less digits than its factorization.

157137068213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 157137068213424 in words is "one hundred fifty-seven trillion, one hundred thirty-seven billion, sixty-eight million, two hundred thirteen thousand, four hundred twenty-four".