137157240 has 128 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 32094720.

The previous prime is 137157239. The next prime is 137157283. The reversal of 137157240 is 42751731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137157198 and 137157207.

It is a congruent number.

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, 36489 + ... + 40071.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^137157240 is an apocalyptic number.

137157240 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 137157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

137157240 is an abundant number, since it is smaller than the sum of its proper divisors (327329160).

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

137157240 is a wasteful number, since it uses less digits than its factorization.

137157240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 137157240 is about 11711.4149444036. The cubic root of 137157240 is about 515.7108228862.

The spelling of 137157240 in words is "one hundred thirty-seven million, one hundred fifty-seven thousand, two hundred forty".