157264140 has 96 divisors (see below), whose sum is σ = 505693440. Its totient is φ = 36115200.

The previous prime is 157264139. The next prime is 157264153. The reversal of 157264140 is 41462751.

157264140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 157264098 and 157264107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6270 + ... + 18810.

It is an arithmetic number, because the mean of its divisors is an integer number (5267640).

Almost surely, 2^157264140 is an apocalyptic number.

157264140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 12540×12541.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252846720).

157264140 is an abundant number, since it is smaller than the sum of its proper divisors (348429300).

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

157264140 is a wasteful number, since it uses less digits than its factorization.

157264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 157264140 is about 12540.4999900323. The cubic root of 157264140 is about 539.7714396244.

The spelling of 157264140 in words is "one hundred fifty-seven million, two hundred sixty-four thousand, one hundred forty".