152908881408 has 200 divisors, whose sum is σ = 458301111048. Its totient is φ = 50966267904.

The previous prime is 152908881401. The next prime is 152908881409. The reversal of 152908881408 is 804188809251.

152908881408 is a `hidden beast` number, since 152 + 9 + 0 + 8 + 8 + 81 + 408 = 666.

It is a super-2 number, since 2×152908881408² (a number of 23 digits) contains 22 as substring.

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 (152908881401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10070110 + ... + 10085282.

Almost surely, 2^152908881408 is an apocalyptic number.

152908881408 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 152908881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229150555524).

152908881408 is an abundant number, since it is smaller than the sum of its proper divisors (305392229640).

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

152908881408 is an frugal number, since it uses more digits than its factorization.

152908881408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15218 (or 15178 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 152908881408 in words is "one hundred fifty-two billion, nine hundred eight million, eight hundred eighty-one thousand, four hundred eight".