137147457 has 16 divisors (see below), whose sum is σ = 189020160. Its totient is φ = 88400592.

The previous prime is 137147443. The next prime is 137147489. The reversal of 137147457 is 754741731.

It is not a de Polignac number, because 137147457 - 2⁸ = 137147201 is a prime.

It is a super-3 number, since 3×137147457³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (137147407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5844 + ... + 17562.

It is an arithmetic number, because the mean of its divisors is an integer number (11813760).

Almost surely, 2^137147457 is an apocalyptic number.

It is an amenable number.

137147457 is a deficient number, since it is larger than the sum of its proper divisors (51872703).

137147457 is a wasteful number, since it uses less digits than its factorization.

137147457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852.

The product of its digits is 82320, while the sum is 39.

The square root of 137147457 is about 11710.9972675259. The cubic root of 137147457 is about 515.6985612442.

It can be divided in two parts, 1371 and 47457, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 137147457 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, four hundred fifty-seven".