152769968190 has 720 divisors, whose sum is σ = 516673279584. Its totient is φ = 31713327360.

The previous prime is 152769968177. The next prime is 152769968227. The reversal of 152769968190 is 91869967251.

152769968190 is a `hidden beast` number, since 1 + 527 + 6 + 9 + 96 + 8 + 19 + 0 = 666.

152769968190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152769968190² (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 (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2882452204 + ... + 2882452256.

Almost surely, 2^152769968190 is an apocalyptic number.

152769968190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152769968190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258336639792).

152769968190 is an abundant number, since it is smaller than the sum of its proper divisors (363903311394).

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

152769968190 is a wasteful number, since it uses less digits than its factorization.

152769968190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 152769968190 in words is "one hundred fifty-two billion, seven hundred sixty-nine million, nine hundred sixty-eight thousand, one hundred ninety".