137378484 has 96 divisors (see below), whose sum is σ = 377932800. Its totient is φ = 43079040.

The previous prime is 137378473. The next prime is 137378489. The reversal of 137378484 is 484873731.

137378484 is a `hidden beast` number, since 137 + 37 + 8 + 484 = 666.

It is a super-2 number, since 2×137378484² = 37745695732276512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137378489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123322 + ... + 124430.

It is an arithmetic number, because the mean of its divisors is an integer number (3936800).

Almost surely, 2^137378484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137378484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188966400).

137378484 is an abundant number, since it is smaller than the sum of its proper divisors (240554316).

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

137378484 is a wasteful number, since it uses less digits than its factorization.

137378484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 137378484 is about 11720.8567946204. The cubic root of 137378484 is about 515.9879661877.

The spelling of 137378484 in words is "one hundred thirty-seven million, three hundred seventy-eight thousand, four hundred eighty-four".