137654440 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 40212480.

The previous prime is 137654437. The next prime is 137654441. The reversal of 137654440 is 44456731.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 137654396 and 137654405.

It is not an unprimeable number, because it can be changed into a prime (137654441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575841 + ... + 576079.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^137654440 is an apocalyptic number.

137654440 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 137654440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

137654440 is an abundant number, since it is smaller than the sum of its proper divisors (276028760).

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

137654440 is a wasteful number, since it uses less digits than its factorization.

137654440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 137654440 is about 11732.6228951586. The cubic root of 137654440 is about 516.3332282608. Note that the first 3 decimals are identical.

The spelling of 137654440 in words is "one hundred thirty-seven million, six hundred fifty-four thousand, four hundred forty".