137993760 has 192 divisors, whose sum is σ = 511660800. Its totient is φ = 34615296.

The previous prime is 137993753. The next prime is 137993771. The reversal of 137993760 is 67399731.

137993760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 72501 + ... + 74379.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 2^137993760 is an apocalyptic number.

137993760 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 137993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255830400).

137993760 is an abundant number, since it is smaller than the sum of its proper divisors (373667040).

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

137993760 is a wasteful number, since it uses less digits than its factorization.

137993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 137993760 is about 11747.0745294307. The cubic root of 137993760 is about 516.7571361983.

The spelling of 137993760 in words is "one hundred thirty-seven million, nine hundred ninety-three thousand, seven hundred sixty".