137074968 has 96 divisors (see below), whose sum is σ = 395194800. Its totient is φ = 42799104.

The previous prime is 137074957. The next prime is 137074999. The reversal of 137074968 is 869470731.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132180 + ... + 133212.

Almost surely, 2^137074968 is an apocalyptic number.

137074968 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 137074968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197597400).

137074968 is an abundant number, since it is smaller than the sum of its proper divisors (258119832).

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

137074968 is a wasteful number, since it uses less digits than its factorization.

137074968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137074968 is about 11707.9019469758. The cubic root of 137074968 is about 515.6076881020.

The spelling of 137074968 in words is "one hundred thirty-seven million, seventy-four thousand, nine hundred sixty-eight".