137430040 has 128 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 44513280.

The previous prime is 137429969. The next prime is 137430053. The reversal of 137430040 is 40034731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 137429993 and 137430020.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141637 + ... + 142603.

It is an arithmetic number, because the mean of its divisors is an integer number (2940300).

Almost surely, 2^137430040 is an apocalyptic number.

137430040 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 137430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

137430040 is an abundant number, since it is smaller than the sum of its proper divisors (238928360).

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

137430040 is a wasteful number, since it uses less digits than its factorization.

137430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 137430040 is about 11723.0559155879. The cubic root of 137430040 is about 516.0525055239.

Adding to 137430040 its reverse (40034731), we get a palindrome (177464771).

The spelling of 137430040 in words is "one hundred thirty-seven million, four hundred thirty thousand, forty".