157119056640 has 1944 divisors, whose sum is σ = 721757273328. Its totient is φ = 32606945280.

The previous prime is 157119056639. The next prime is 157119056657. The reversal of 157119056640 is 46650911751.

157119056640 is a `hidden beast` number, since 1 + 5 + 71 + 19 + 0 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2575722210 + ... + 2575722270.

Almost surely, 2^157119056640 is an apocalyptic number.

157119056640 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 157119056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360878636664).

157119056640 is an abundant number, since it is smaller than the sum of its proper divisors (564638216688).

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

157119056640 is an equidigital number, since it uses as much as digits as its factorization.

157119056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 157119056640 in words is "one hundred fifty-seven billion, one hundred nineteen million, fifty-six thousand, six hundred forty".