107137728000 has 720 divisors, whose sum is σ = 405061793136. Its totient is φ = 28225843200.

The previous prime is 107137727993. The next prime is 107137728011. The reversal of 107137728000 is 827731701.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

107137728000 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 377 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×107137728000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1290815959 + ... + 1290816041.

Almost surely, 2^107137728000 is an apocalyptic number.

107137728000 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 107137728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202530896568).

107137728000 is an abundant number, since it is smaller than the sum of its proper divisors (297924065136).

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

107137728000 is an frugal number, since it uses more digits than its factorization.

107137728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 107137728000 in words is "one hundred seven billion, one hundred thirty-seven million, seven hundred twenty-eight thousand".