137691840 has 448 divisors, whose sum is σ = 553029120. Its totient is φ = 28508160.

The previous prime is 137691833. The next prime is 137691847. The reversal of 137691840 is 48196731.

It is an interprime number because it is at equal distance from previous prime (137691833) and next prime (137691847).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (137691847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333731 + ... + 2333789.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^137691840 is an apocalyptic number.

137691840 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 137691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

137691840 is an abundant number, since it is smaller than the sum of its proper divisors (415337280).

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

137691840 is a wasteful number, since it uses less digits than its factorization.

137691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 137691840 is about 11734.2166334187. The cubic root of 137691840 is about 516.3799857164.

The spelling of 137691840 in words is "one hundred thirty-seven million, six hundred ninety-one thousand, eight hundred forty".