137100601 has 16 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 121626000.

The previous prime is 137100553. The next prime is 137100659. The reversal of 137100601 is 106001731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137100601 - 2⁷ = 137100473 is a prime.

It is a super-2 number, since 2×137100601² = 37593149589122402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137100671) 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, 97300 + ... + 98698.

It is an arithmetic number, because the mean of its divisors is an integer number (9576000).

Almost surely, 2^137100601 is an apocalyptic number.

137100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137100601 is a deficient number, since it is larger than the sum of its proper divisors (16115399).

137100601 is a wasteful number, since it uses less digits than its factorization.

137100601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 137100601 is about 11708.9965838239. The cubic root of 137100601 is about 515.6398256209.

The spelling of 137100601 in words is "one hundred thirty-seven million, one hundred thousand, six hundred one".