137400840 has 256 divisors, whose sum is σ = 489888000. Its totient is φ = 34191360.

The previous prime is 137400839. The next prime is 137400847. The reversal of 137400840 is 48004731.

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

It is not an unprimeable number, because it can be changed into a prime (137400847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1284067 + ... + 1284173.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 2^137400840 is an apocalyptic number.

137400840 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 137400840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

137400840 is an abundant number, since it is smaller than the sum of its proper divisors (352487160).

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

137400840 is a wasteful number, since it uses less digits than its factorization.

137400840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 137400840 is about 11721.8104403714. The cubic root of 137400840 is about 516.0159540768.

The spelling of 137400840 in words is "one hundred thirty-seven million, four hundred thousand, eight hundred forty".