137272968 has 160 divisors (see below), whose sum is σ = 448493760. Its totient is φ = 38413440.

The previous prime is 137272963. The next prime is 137272973. The reversal of 137272968 is 869272731.

It is an interprime number because it is at equal distance from previous prime (137272963) and next prime (137272973).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (137272963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240123 + ... + 240693.

It is an arithmetic number, because the mean of its divisors is an integer number (2803086).

Almost surely, 2^137272968 is an apocalyptic number.

137272968 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 137272968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224246880).

137272968 is an abundant number, since it is smaller than the sum of its proper divisors (311220792).

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

137272968 is a wasteful number, since it uses less digits than its factorization.

137272968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

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

The square root of 137272968 is about 11716.3547232064. The cubic root of 137272968 is about 515.8558277583.

The spelling of 137272968 in words is "one hundred thirty-seven million, two hundred seventy-two thousand, nine hundred sixty-eight".