157035420360 has 512 divisors, whose sum is σ = 659248128000. Its totient is φ = 32361348096.

The previous prime is 157035420341. The next prime is 157035420419. The reversal of 157035420360 is 63024530751.

157035420360 is a `hidden beast` number, since 1 + 57 + 0 + 3 + 542 + 0 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4207461 + ... + 4244619.

It is an arithmetic number, because the mean of its divisors is an integer number (1287594000).

Almost surely, 2^157035420360 is an apocalyptic number.

157035420360 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 157035420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329624064000).

157035420360 is an abundant number, since it is smaller than the sum of its proper divisors (502212707640).

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

157035420360 is a wasteful number, since it uses less digits than its factorization.

157035420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37242 (or 37232 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 157035420360 in words is "one hundred fifty-seven billion, thirty-five million, four hundred twenty thousand, three hundred sixty".