137652240 has 160 divisors (see below), whose sum is σ = 485968896. Its totient is φ = 31905280.

The previous prime is 137652239. The next prime is 137652271. The reversal of 137652240 is 42256731.

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 = 137652198 and 137652207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59587 + ... + 61853.

Almost surely, 2^137652240 is an apocalyptic number.

137652240 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 137652240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

137652240 is an abundant number, since it is smaller than the sum of its proper divisors (348316656).

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

137652240 is a wasteful number, since it uses less digits than its factorization.

137652240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 137652240 is about 11732.5291391072. The cubic root of 137652240 is about 516.3304775585.

The spelling of 137652240 in words is "one hundred thirty-seven million, six hundred fifty-two thousand, two hundred forty".