137814880 has 48 divisors (see below), whose sum is σ = 372103200. Its totient is φ = 47250432.

The previous prime is 137814877. The next prime is 137814883. The reversal of 137814880 is 88418731.

It is an interprime number because it is at equal distance from previous prime (137814877) and next prime (137814883).

It is a super-2 number, since 2×137814880² = 37985882298828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137814883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60405 + ... + 62644.

It is an arithmetic number, because the mean of its divisors is an integer number (7752150).

Almost surely, 2^137814880 is an apocalyptic number.

137814880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137814880 is an abundant number, since it is smaller than the sum of its proper divisors (234288320).

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

137814880 is a wasteful number, since it uses less digits than its factorization.

137814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123071 (or 123063 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 137814880 is about 11739.4582498512. The cubic root of 137814880 is about 516.5337505243.

The spelling of 137814880 in words is "one hundred thirty-seven million, eight hundred fourteen thousand, eight hundred eighty".