157007120 has 20 divisors (see below), whose sum is σ = 365041740. Its totient is φ = 62802816.

The previous prime is 157007117. The next prime is 157007129. The reversal of 157007120 is 21700751.

It is a happy number.

157007120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64770304 + 92236816 = 8048^2 + 9604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (157007129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 981215 + ... + 981374.

It is an arithmetic number, because the mean of its divisors is an integer number (18252087).

Almost surely, 2^157007120 is an apocalyptic number.

157007120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157007120 is an abundant number, since it is smaller than the sum of its proper divisors (208034620).

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

157007120 is a wasteful number, since it uses less digits than its factorization.

157007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962602 (or 1962596 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 157007120 is about 12530.2482018514. The cubic root of 157007120 is about 539.4772261191.

Adding to 157007120 its reverse (21700751), we get a palindrome (178707871).

The spelling of 157007120 in words is "one hundred fifty-seven million, seven thousand, one hundred twenty".