157120040 has 128 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 48487680.

The previous prime is 157120003. The next prime is 157120043. The reversal of 157120040 is 40021751.

157120040 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 157119994 and 157120021.

It is not an unprimeable number, because it can be changed into a prime (157120043) 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, 427937 + ... + 428303.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2^157120040 is an apocalyptic number.

157120040 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 157120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

157120040 is an abundant number, since it is smaller than the sum of its proper divisors (288012760).

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

157120040 is a wasteful number, since it uses less digits than its factorization.

157120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 157120040 is about 12534.7532883579. The cubic root of 157120040 is about 539.6065263490.

Adding to 157120040 its reverse (40021751), we get a palindrome (197141791).

The spelling of 157120040 in words is "one hundred fifty-seven million, one hundred twenty thousand, forty".