157202640 has 320 divisors, whose sum is σ = 637816320. Its totient is φ = 34836480.

The previous prime is 157202623. The next prime is 157202641. The reversal of 157202640 is 46202751.

157202640 is a `hidden beast` number, since 15 + 7 + 2 + 0 + 2 + 640 = 666.

157202640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157202641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559300 + ... + 559580.

It is an arithmetic number, because the mean of its divisors is an integer number (1993176).

Almost surely, 2^157202640 is an apocalyptic number.

157202640 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 157202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318908160).

157202640 is an abundant number, since it is smaller than the sum of its proper divisors (480613680).

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

157202640 is a wasteful number, since it uses less digits than its factorization.

157202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 157202640 is about 12538.0476949165. The cubic root of 157202640 is about 539.7010691176.

The spelling of 157202640 in words is "one hundred fifty-seven million, two hundred two thousand, six hundred forty".