157307432123968 has 336 divisors, whose sum is σ = 384783936698304. Its totient is φ = 63547866869760.

The previous prime is 157307432123939. The next prime is 157307432123977. The reversal of 157307432123968 is 869321234703751.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435783171 + ... + 436143997.

It is a 1-persistent number, because it is pandigital, but 2⋅157307432123968 = 314614864247936 is not.

Almost surely, 2^{157307432123968} 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 157307432123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192391968349152).

157307432123968 is an abundant number, since it is smaller than the sum of its proper divisors (227476504574336).

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

157307432123968 is a wasteful number, since it uses less digits than its factorization.

157307432123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361010 (or 360993 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 157307432123968 in words is "one hundred fifty-seven trillion, three hundred seven billion, four hundred thirty-two million, one hundred twenty-three thousand, nine hundred sixty-eight".