137928960 has 288 divisors, whose sum is σ = 528823680. Its totient is φ = 33841152.

The previous prime is 137928937. The next prime is 137928977. The reversal of 137928960 is 69829731.

It is a tau number, because it is divible by the number of its divisors (288).

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 (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449127 + ... + 449433.

Almost surely, 2^137928960 is an apocalyptic number.

137928960 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 137928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264411840).

137928960 is an abundant number, since it is smaller than the sum of its proper divisors (390894720).

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

137928960 is a wasteful number, since it uses less digits than its factorization.

137928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 137928960 is about 11744.3160720410. The cubic root of 137928960 is about 516.6762361507.

The spelling of 137928960 in words is "one hundred thirty-seven million, nine hundred twenty-eight thousand, nine hundred sixty".