152880183456 has 1152 divisors, whose sum is σ = 602033160960. Its totient is φ = 33236582400.

The previous prime is 152880183409. The next prime is 152880183481. The reversal of 152880183456 is 654381088251.

It is a super-2 number, since 2×152880183456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 152880183399 and 152880183408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331627066 + ... + 331627526.

It is an arithmetic number, because the mean of its divisors is an integer number (522598230).

Almost surely, 2^152880183456 is an apocalyptic number.

152880183456 is a gapful number since it is divisible by the number (16) 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 152880183456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301016580480).

152880183456 is an abundant number, since it is smaller than the sum of its proper divisors (449152977504).

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

152880183456 is a wasteful number, since it uses less digits than its factorization.

152880183456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 152880183456 in words is "one hundred fifty-two billion, eight hundred eighty million, one hundred eighty-three thousand, four hundred fifty-six".