137233661377 has 16 divisors (see below), whose sum is σ = 144879217920. Its totient is φ = 129630758400.

The previous prime is 137233661363. The next prime is 137233661387. The reversal of 137233661377 is 773166332731.

It is a cyclic number.

It is not a de Polignac number, because 137233661377 - 2⁷ = 137233661249 is a prime.

It is a super-2 number, since 2×137233661377² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (2000376) is a multiple of the sum of its prime divisors (10584).

It is a self number, because there is not a number n which added to its sum of digits gives 137233661377.

It is not an unprimeable number, because it can be changed into a prime (137233661347) 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, 17037283 + ... + 17045335.

It is an arithmetic number, because the mean of its divisors is an integer number (9054951120).

Almost surely, 2^137233661377 is an apocalyptic number.

It is an amenable number.

137233661377 is a deficient number, since it is larger than the sum of its proper divisors (7645556543).

137233661377 is a wasteful number, since it uses less digits than its factorization.

137233661377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584.

The product of its digits is 2000376, while the sum is 49.

The spelling of 137233661377 in words is "one hundred thirty-seven billion, two hundred thirty-three million, six hundred sixty-one thousand, three hundred seventy-seven".