137834040 has 64 divisors (see below), whose sum is σ = 414720000. Its totient is φ = 36647552.

The previous prime is 137834023. The next prime is 137834063. The reversal of 137834040 is 40438731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137833989 and 137834007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44461 + ... + 47459.

It is an arithmetic number, because the mean of its divisors is an integer number (6480000).

Almost surely, 2^137834040 is an apocalyptic number.

137834040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137834040 is an abundant number, since it is smaller than the sum of its proper divisors (276885960).

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

137834040 is a wasteful number, since it uses less digits than its factorization.

137834040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 137834040 is about 11740.2742727757. The cubic root of 137834040 is about 516.5576868077.

The spelling of 137834040 in words is "one hundred thirty-seven million, eight hundred thirty-four thousand, forty".