137407872 has 256 divisors, whose sum is σ = 460615680. Its totient is φ = 35389440.

The previous prime is 137407861. The next prime is 137407891. The reversal of 137407872 is 278704731.

It is a self number, because there is not a number n which added to its sum of digits gives 137407872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416528 + ... + 1416624.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^137407872 is an apocalyptic number.

137407872 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 137407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

137407872 is an abundant number, since it is smaller than the sum of its proper divisors (323207808).

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

137407872 is a wasteful number, since it uses less digits than its factorization.

137407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 137407872 is about 11722.1103901985. The cubic root of 137407872 is about 516.0247569397.

It can be divided in two parts, 13740 and 7872, that added together give a palindrome (21612).

The spelling of 137407872 in words is "one hundred thirty-seven million, four hundred seven thousand, eight hundred seventy-two".