137742561 has 24 divisors (see below), whose sum is σ = 226489536. Its totient is φ = 79849440.

The previous prime is 137742557. The next prime is 137742569. The reversal of 137742561 is 165247731.

It is a happy number.

It is not a de Polignac number, because 137742561 - 2² = 137742557 is a prime.

It is a super-2 number, since 2×137742561² = 37946026221677442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137742569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27970 + ... + 32523.

It is an arithmetic number, because the mean of its divisors is an integer number (9437064).

Almost surely, 2^137742561 is an apocalyptic number.

137742561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137742561 is a deficient number, since it is larger than the sum of its proper divisors (88746975).

137742561 is a wasteful number, since it uses less digits than its factorization.

137742561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60533 (or 60530 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 137742561 is about 11736.3776779720. The cubic root of 137742561 is about 516.4433835520.

The spelling of 137742561 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, five hundred sixty-one".