128157206538240 has 1152 divisors, whose sum is σ = 519825823171200. Its totient is φ = 29996903301120.

The previous prime is 128157206538169. The next prime is 128157206538241. The reversal of 128157206538240 is 42835602751821.

It is a happy number.

128157206538240 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 57 + 206 + 5 + 382 + 4 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (128157206538241) 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, 793693354 + ... + 793854806.

It is an arithmetic number, because the mean of its divisors is an integer number (451237693725).

Almost surely, 2^{128157206538240} is an apocalyptic number.

128157206538240 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 128157206538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259912911585600).

128157206538240 is an abundant number, since it is smaller than the sum of its proper divisors (391668616632960).

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

128157206538240 is a wasteful number, since it uses less digits than its factorization.

128157206538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161535 (or 161503 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 128157206538240 in words is "one hundred twenty-eight trillion, one hundred fifty-seven billion, two hundred six million, five hundred thirty-eight thousand, two hundred forty".