157541680 has 80 divisors (see below), whose sum is σ = 384287904. Its totient is φ = 59996160.

The previous prime is 157541641. The next prime is 157541689. The reversal of 157541680 is 86145751.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157541689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 140482 + ... + 141598.

Almost surely, 2^157541680 is an apocalyptic number.

157541680 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 157541680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192143952).

157541680 is an abundant number, since it is smaller than the sum of its proper divisors (226746224).

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

157541680 is a wasteful number, since it uses less digits than its factorization.

157541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 157541680 is about 12551.5608591123. The cubic root of 157541680 is about 540.0887828416.

The spelling of 157541680 in words is "one hundred fifty-seven million, five hundred forty-one thousand, six hundred eighty".