157541120 has 144 divisors (see below), whose sum is σ = 420311808. Its totient is φ = 56094720.

The previous prime is 157541107. The next prime is 157541149. The reversal of 157541120 is 21145751.

It is a self number, because there is not a number n which added to its sum of digits gives 157541120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943277 + ... + 943443.

It is an arithmetic number, because the mean of its divisors is an integer number (2918832).

Almost surely, 2^157541120 is an apocalyptic number.

157541120 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 157541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210155904).

157541120 is an abundant number, since it is smaller than the sum of its proper divisors (262770688).

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

157541120 is a wasteful number, since it uses less digits than its factorization.

157541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 157541120 is about 12551.5385511100. The cubic root of 157541120 is about 540.0881429050.

Adding to 157541120 its reverse (21145751), we get a palindrome (178686871).

The spelling of 157541120 in words is "one hundred fifty-seven million, five hundred forty-one thousand, one hundred twenty".