137258472 has 64 divisors (see below), whose sum is σ = 371004480. Its totient is φ = 42066432.

The previous prime is 137258449. The next prime is 137258477. The reversal of 137258472 is 274852731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 137258472.

It is not an unprimeable number, because it can be changed into a prime (137258477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95068 + ... + 96500.

It is an arithmetic number, because the mean of its divisors is an integer number (5796945).

Almost surely, 2^137258472 is an apocalyptic number.

137258472 is a gapful number since it is divisible by the number (12) 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 137258472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185502240).

137258472 is an abundant number, since it is smaller than the sum of its proper divisors (233746008).

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

137258472 is a wasteful number, since it uses less digits than its factorization.

137258472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 137258472 is about 11715.7360844294. The cubic root of 137258472 is about 515.8376690258.

The spelling of 137258472 in words is "one hundred thirty-seven million, two hundred fifty-eight thousand, four hundred seventy-two".