137814080 has 56 divisors (see below), whose sum is σ = 329595480. Its totient is φ = 54886400.

The previous prime is 137814073. The next prime is 137814101. The reversal of 137814080 is 80418731.

It can be written as a sum of positive squares in 4 ways, for example, as 23580736 + 114233344 = 4856^2 + 10688^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85280 + ... + 86880.

Almost surely, 2^137814080 is an apocalyptic number.

137814080 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 137814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164797740).

137814080 is an abundant number, since it is smaller than the sum of its proper divisors (191781400).

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

137814080 is a wasteful number, since it uses less digits than its factorization.

137814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 137814080 is about 11739.4241766792. The cubic root of 137814080 is about 516.5327510488.

The spelling of 137814080 in words is "one hundred thirty-seven million, eight hundred fourteen thousand, eighty".