157205460 has 96 divisors (see below), whose sum is σ = 486404352. Its totient is φ = 37734400.

The previous prime is 157205453. The next prime is 157205467. The reversal of 157205460 is 64502751.

It is an interprime number because it is at equal distance from previous prime (157205453) and next prime (157205467).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157205467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20110 + ... + 26810.

It is an arithmetic number, because the mean of its divisors is an integer number (5066712).

Almost surely, 2^157205460 is an apocalyptic number.

157205460 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 157205460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243202176).

157205460 is an abundant number, since it is smaller than the sum of its proper divisors (329198892).

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

157205460 is a wasteful number, since it uses less digits than its factorization.

157205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 157205460 is about 12538.1601521116. The cubic root of 157205460 is about 539.7042962642.

The spelling of 157205460 in words is "one hundred fifty-seven million, two hundred five thousand, four hundred sixty".