137003076 has 120 divisors (see below), whose sum is σ = 423635520. Its totient is φ = 37775808.

The previous prime is 137003071. The next prime is 137003107. The reversal of 137003076 is 670300731.

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 (137003071) 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 39 ways as a sum of consecutive naturals, for example, 64731 + ... + 66813.

It is an arithmetic number, because the mean of its divisors is an integer number (3530296).

Almost surely, 2^137003076 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 137003076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211817760).

137003076 is an abundant number, since it is smaller than the sum of its proper divisors (286632444).

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

137003076 is a wasteful number, since it uses less digits than its factorization.

137003076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 137003076 is about 11704.8313101898. The cubic root of 137003076 is about 515.5175317184.

The spelling of 137003076 in words is "one hundred thirty-seven million, three thousand, seventy-six".