137928268800 has 1056 divisors, whose sum is σ = 599440204800. Its totient is φ = 30408376320.

The previous prime is 137928268763. The next prime is 137928268801. The reversal of 137928268800 is 8862829731.

It is a happy number.

137928268800 is a `hidden beast` number, since 1 + 379 + 2 + 8 + 268 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137928268801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140313109 + ... + 140314091.

Almost surely, 2^137928268800 is an apocalyptic number.

137928268800 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 137928268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299720102400).

137928268800 is an abundant number, since it is smaller than the sum of its proper divisors (461511936000).

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

137928268800 is a wasteful number, since it uses less digits than its factorization.

137928268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 137928268800 in words is "one hundred thirty-seven billion, nine hundred twenty-eight million, two hundred sixty-eight thousand, eight hundred".