137441500 has 96 divisors (see below), whose sum is σ = 347203584. Its totient is φ = 46555200.

The previous prime is 137441477. The next prime is 137441509. The reversal of 137441500 is 5144731.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137441509) 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, 374317 + ... + 374683.

It is an arithmetic number, because the mean of its divisors is an integer number (3616704).

Almost surely, 2^137441500 is an apocalyptic number.

137441500 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 137441500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173601792).

137441500 is an abundant number, since it is smaller than the sum of its proper divisors (209762084).

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

137441500 is a wasteful number, since it uses less digits than its factorization.

137441500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 137441500 is about 11723.5446858022. The cubic root of 137441500 is about 516.0668493004.

The spelling of 137441500 in words is "one hundred thirty-seven million, four hundred forty-one thousand, five hundred".