137841400 has 48 divisors (see below), whose sum is σ = 323472600. Its totient is φ = 54622080.

The previous prime is 137841397. The next prime is 137841401. The reversal of 137841400 is 4148731.

137841400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137841401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18639 + ... + 24961.

Almost surely, 2^137841400 is an apocalyptic number.

137841400 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 137841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161736300).

137841400 is an abundant number, since it is smaller than the sum of its proper divisors (185631200).

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

137841400 is a wasteful number, since it uses less digits than its factorization.

137841400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 137841400 is about 11740.5877195309. The cubic root of 137841400 is about 516.5668809489.

It can be divided in two parts, 1378 and 41400, that added together give a triangular number (42778 = T₂₉₂).

The spelling of 137841400 in words is "one hundred thirty-seven million, eight hundred forty-one thousand, four hundred".