137414340 has 96 divisors (see below), whose sum is σ = 488597760. Its totient is φ = 31408128.

The previous prime is 137414317. The next prime is 137414353. The reversal of 137414340 is 43414731.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14397 + ... + 21956.

It is an arithmetic number, because the mean of its divisors is an integer number (5089560).

Almost surely, 2^137414340 is an apocalyptic number.

137414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137414340 is an abundant number, since it is smaller than the sum of its proper divisors (351183420).

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

137414340 is a wasteful number, since it uses less digits than its factorization.

137414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36378 (or 36370 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 137414340 is about 11722.3862758399. The cubic root of 137414340 is about 516.0328535058.

It can be divided in two parts, 13741 and 4340, that added together give a palindrome (18081).

The spelling of 137414340 in words is "one hundred thirty-seven million, four hundred fourteen thousand, three hundred forty".