157006725120 has 1152 divisors, whose sum is σ = 660824007480. Its totient is φ = 34351349760.

The previous prime is 157006725103. The next prime is 157006725137. The reversal of 157006725120 is 21527600751.

157006725120 is a `hidden beast` number, since 1 + 5 + 70 + 0 + 6 + 72 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157006725103) and next prime (157006725137).

It can be written as a sum of positive squares in 4 ways, for example, as 102318096384 + 54688628736 = 319872^2 + 233856^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×157006725120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2962391014 + ... + 2962391066.

Almost surely, 2^157006725120 is an apocalyptic number.

157006725120 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 157006725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330412003740).

157006725120 is an abundant number, since it is smaller than the sum of its proper divisors (503817282360).

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

157006725120 is an equidigital number, since it uses as much as digits as its factorization.

157006725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

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

The spelling of 157006725120 in words is "one hundred fifty-seven billion, six million, seven hundred twenty-five thousand, one hundred twenty".