137878440 has 256 divisors, whose sum is σ = 510105600. Its totient is φ = 29113344.

The previous prime is 137878427. The next prime is 137878453. The reversal of 137878440 is 44878731.

It is an interprime number because it is at equal distance from previous prime (137878427) and next prime (137878453).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 137878392 and 137878401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845799 + ... + 845961.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 2^137878440 is an apocalyptic number.

137878440 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 137878440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255052800).

137878440 is an abundant number, since it is smaller than the sum of its proper divisors (372227160).

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

137878440 is a wasteful number, since it uses less digits than its factorization.

137878440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 137878440 is about 11742.1650473837. The cubic root of 137878440 is about 516.6131464969.

The spelling of 137878440 in words is "one hundred thirty-seven million, eight hundred seventy-eight thousand, four hundred forty".