128362752000 has 1152 divisors, whose sum is σ = 553473648000. Its totient is φ = 29262643200.

The previous prime is 128362751981. The next prime is 128362752013. The reversal of 128362752000 is 257263821.

128362752000 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 627 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×128362752000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338687811 + ... + 338688189.

It is an arithmetic number, because the mean of its divisors is an integer number (480445875).

Almost surely, 2^128362752000 is an apocalyptic number.

128362752000 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 128362752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276736824000).

128362752000 is an abundant number, since it is smaller than the sum of its proper divisors (425110896000).

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

128362752000 is an equidigital number, since it uses as much as digits as its factorization.

128362752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 128362752000 in words is "one hundred twenty-eight billion, three hundred sixty-two million, seven hundred fifty-two thousand".