151885312128 has 384 divisors, whose sum is σ = 490628698560. Its totient is φ = 44701286400.

The previous prime is 151885312127. The next prime is 151885312177. The reversal of 151885312128 is 821213588151.

It is a happy number.

151885312128 is a `hidden beast` number, since 1 + 518 + 8 + 5 + 3 + 1 + 2 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (151885312127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147032700 + ... + 147033732.

Almost surely, 2^151885312128 is an apocalyptic number.

151885312128 is a gapful number since it is divisible by the number (18) 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 151885312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245314349280).

151885312128 is an abundant number, since it is smaller than the sum of its proper divisors (338743386432).

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

151885312128 is a wasteful number, since it uses less digits than its factorization.

151885312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1373 counting only the distinct ones).

The product of its digits is 153600, while the sum is 45.

The spelling of 151885312128 in words is "one hundred fifty-one billion, eight hundred eighty-five million, three hundred twelve thousand, one hundred twenty-eight".