157405317120 has 960 divisors, whose sum is σ = 607342095360. Its totient is φ = 38889455616.

The previous prime is 157405317109. The next prime is 157405317137. The reversal of 157405317120 is 21713504751.

157405317120 is a `hidden beast` number, since 1 + 57 + 4 + 0 + 531 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705853329 + ... + 705853551.

It is an arithmetic number, because the mean of its divisors is an integer number (632648016).

Almost surely, 2^157405317120 is an apocalyptic number.

157405317120 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 157405317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303671047680).

157405317120 is an abundant number, since it is smaller than the sum of its proper divisors (449936778240).

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

157405317120 is a wasteful number, since it uses less digits than its factorization.

157405317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 157405317120 in words is "one hundred fifty-seven billion, four hundred five million, three hundred seventeen thousand, one hundred twenty".