157007040 has 112 divisors (see below), whose sum is σ = 510783840. Its totient is φ = 40837120.

The previous prime is 157007023. The next prime is 157007093. The reversal of 157007040 is 40700751.

157007040 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 157007040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37366 + ... + 41354.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2^157007040 is an apocalyptic number.

157007040 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 157007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255391920).

157007040 is an abundant number, since it is smaller than the sum of its proper divisors (353776800).

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

157007040 is a wasteful number, since it uses less digits than its factorization.

157007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 157007040 is about 12530.2450095758. The cubic root of 157007040 is about 539.4771344923.

Adding to 157007040 its reverse (40700751), we get a palindrome (197707791).

The spelling of 157007040 in words is "one hundred fifty-seven million, seven thousand, forty".