137883680 has 96 divisors (see below), whose sum is σ = 358344000. Its totient is φ = 49720320.

The previous prime is 137883637. The next prime is 137883701. The reversal of 137883680 is 86388731.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276071 + ... + 276569.

It is an arithmetic number, because the mean of its divisors is an integer number (3732750).

Almost surely, 2^137883680 is an apocalyptic number.

137883680 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 137883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179172000).

137883680 is an abundant number, since it is smaller than the sum of its proper divisors (220460320).

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

137883680 is a wasteful number, since it uses less digits than its factorization.

137883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 137883680 is about 11742.3881727696. The cubic root of 137883680 is about 516.6196909539.

It can be divided in two parts, 1378 and 83680, that added together give a palindrome (85058).

The spelling of 137883680 in words is "one hundred thirty-seven million, eight hundred eighty-three thousand, six hundred eighty".