137479440 has 320 divisors, whose sum is σ = 528537600. Its totient is φ = 28864512.

The previous prime is 137479429. The next prime is 137479523. The reversal of 137479440 is 44974731.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1883244 + ... + 1883316.

It is an arithmetic number, because the mean of its divisors is an integer number (1651680).

Almost surely, 2^137479440 is an apocalyptic number.

137479440 is a gapful number since it is divisible by the number (10) 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 137479440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264268800).

137479440 is an abundant number, since it is smaller than the sum of its proper divisors (391058160).

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

137479440 is a wasteful number, since it uses less digits than its factorization.

137479440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 137479440 is about 11725.1626854385. The cubic root of 137479440 is about 516.1143307741.

The spelling of 137479440 in words is "one hundred thirty-seven million, four hundred seventy-nine thousand, four hundred forty".