137200640 has 88 divisors (see below), whose sum is σ = 333284352. Its totient is φ = 54190080.

The previous prime is 137200639. The next prime is 137200667. The reversal of 137200640 is 46002731.

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 7 ways as a sum of consecutive naturals, for example, 650135 + ... + 650345.

Almost surely, 2^137200640 is an apocalyptic number.

137200640 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 137200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166642176).

137200640 is an abundant number, since it is smaller than the sum of its proper divisors (196083712).

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

137200640 is a wasteful number, since it uses less digits than its factorization.

137200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 137200640 is about 11713.2676909563. The cubic root of 137200640 is about 515.7652117744.

The spelling of 137200640 in words is "one hundred thirty-seven million, two hundred thousand, six hundred forty".