157137541 has 8 divisors (see below), whose sum is σ = 178876224. Its totient is φ = 136641120.

The previous prime is 157137499. The next prime is 157137551. The reversal of 157137541 is 145731751.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 157137541 - 2¹⁷ = 157006469 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157137497 and 157137506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157137551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310296 + ... + 310801.

It is an arithmetic number, because the mean of its divisors is an integer number (22359528).

Almost surely, 2^157137541 is an apocalyptic number.

157137541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157137541 is a deficient number, since it is larger than the sum of its proper divisors (21738683).

157137541 is a wasteful number, since it uses less digits than its factorization.

157137541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621131.

The product of its digits is 14700, while the sum is 34.

The square root of 157137541 is about 12535.4513680202. The cubic root of 157137541 is about 539.6265605071.

The spelling of 157137541 in words is "one hundred fifty-seven million, one hundred thirty-seven thousand, five hundred forty-one".