152098678368 has 768 divisors, whose sum is σ = 573737472000. Its totient is φ = 38101155840.

The previous prime is 152098678331. The next prime is 152098678393. The reversal of 152098678368 is 863876890251.

152098678368 is a `hidden beast` number, since 1 + 5 + 209 + 8 + 67 + 8 + 368 = 666.

It is a super-2 number, since 2×152098678368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 435812658 + ... + 435813006.

It is an arithmetic number, because the mean of its divisors is an integer number (747054000).

Almost surely, 2^152098678368 is an apocalyptic number.

152098678368 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 152098678368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286868736000).

152098678368 is an abundant number, since it is smaller than the sum of its proper divisors (421638793632).

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

152098678368 is a wasteful number, since it uses less digits than its factorization.

152098678368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 152098678368 in words is "one hundred fifty-two billion, ninety-eight million, six hundred seventy-eight thousand, three hundred sixty-eight".