137077411968 has 384 divisors, whose sum is σ = 475211667840. Its totient is φ = 38519193600.

The previous prime is 137077411949. The next prime is 137077411979. The reversal of 137077411968 is 869114770731.

It is a happy number.

137077411968 is a `hidden beast` number, since 1 + 3 + 70 + 77 + 411 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13276248 + ... + 13286568.

It is an arithmetic number, because the mean of its divisors is an integer number (1237530385).

Almost surely, 2^137077411968 is an apocalyptic number.

137077411968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137077411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237605833920).

137077411968 is an abundant number, since it is smaller than the sum of its proper divisors (338134255872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137077411968 is an equidigital number, since it uses as much as digits as its factorization.

137077411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 137077411968 in words is "one hundred thirty-seven billion, seventy-seven million, four hundred eleven thousand, nine hundred sixty-eight".