157106853372672 has 432 divisors, whose sum is σ = 540524647363680. Its totient is φ = 44881012334592.

The previous prime is 157106853372661. The next prime is 157106853372691. The reversal of 157106853372672 is 276273358601751.

157106853372672 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 0 + 6 + 8 + 533 + 7 + 26 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×157106853372672³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2564853598 + ... + 2564914850.

It is an arithmetic number, because the mean of its divisors is an integer number (1251214461490).

Almost surely, 2^{157106853372672} is an apocalyptic number.

157106853372672 is a gapful number since it is divisible by the number (12) 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 157106853372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270262323681840).

157106853372672 is an abundant number, since it is smaller than the sum of its proper divisors (383417793991008).

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

157106853372672 is an equidigital number, since it uses as much as digits as its factorization.

157106853372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68865 (or 68838 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 157106853372672 in words is "one hundred fifty-seven trillion, one hundred six billion, eight hundred fifty-three million, three hundred seventy-two thousand, six hundred seventy-two".