137641530 has 64 divisors (see below), whose sum is σ = 362517120. Its totient is φ = 33236736.

The previous prime is 137641507. The next prime is 137641541. The reversal of 137641530 is 35146731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17341 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (5664330).

Almost surely, 2^137641530 is an apocalyptic number.

137641530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137641530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181258560).

137641530 is an abundant number, since it is smaller than the sum of its proper divisors (224875590).

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

137641530 is a wasteful number, since it uses less digits than its factorization.

137641530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137641530 is about 11732.0727069005. The cubic root of 137641530 is about 516.3170862209.

The spelling of 137641530 in words is "one hundred thirty-seven million, six hundred forty-one thousand, five hundred thirty".