157122735 has 96 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 64078080.

The previous prime is 157122733. The next prime is 157122743. The reversal of 157122735 is 537221751.

It is a happy number.

157122735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157122735 - 2¹ = 157122733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 157122696 and 157122705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157122733) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054441 + ... + 1054589.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^157122735 is an apocalyptic number.

157122735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157122735 is an abundant number, since it is smaller than the sum of its proper divisors (164630865).

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

157122735 is a wasteful number, since it uses less digits than its factorization.

157122735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 157122735 is about 12534.8607890156. The cubic root of 157122735 is about 539.6096115299.

The spelling of 157122735 in words is "one hundred fifty-seven million, one hundred twenty-two thousand, seven hundred thirty-five".