137384100 has 180 divisors, whose sum is σ = 509175744. Its totient is φ = 31389120.

The previous prime is 137384087. The next prime is 137384101. The reversal of 137384100 is 1483731.

It is a tau number, because it is divible by the number of its divisors (180).

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 (137384101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55489 + ... + 57911.

Almost surely, 2^137384100 is an apocalyptic number.

137384100 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 137384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254587872).

137384100 is an abundant number, since it is smaller than the sum of its proper divisors (371791644).

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

137384100 is a wasteful number, since it uses less digits than its factorization.

137384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137384100 is about 11721.0963651017. The cubic root of 137384100 is about 515.9949972473.

The spelling of 137384100 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, one hundred".