157146272640 has 1024 divisors, whose sum is σ = 660662323200. Its totient is φ = 34989760512.

The previous prime is 157146272599. The next prime is 157146272653. The reversal of 157146272640 is 46272641751.

157146272640 is a `hidden beast` number, since 1 + 5 + 7 + 14 + 627 + 2 + 6 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 421303494 + ... + 421303866.

It is an arithmetic number, because the mean of its divisors is an integer number (645178050).

Almost surely, 2^157146272640 is an apocalyptic number.

157146272640 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 157146272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330331161600).

157146272640 is an abundant number, since it is smaller than the sum of its proper divisors (503516050560).

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

157146272640 is an frugal number, since it uses more digits than its factorization.

157146272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 157146272640 in words is "one hundred fifty-seven billion, one hundred forty-six million, two hundred seventy-two thousand, six hundred forty".