151793468190 has 384 divisors, whose sum is σ = 502784335872. Its totient is φ = 30908666880.

The previous prime is 151793468149. The next prime is 151793468213. The reversal of 151793468190 is 91864397151.

151793468190 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 93 + 468 + 1 + 90 = 666.

It is a super-2 number, since 2×151793468190² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138877284 + ... + 138878376.

It is an arithmetic number, because the mean of its divisors is an integer number (1309334208).

Almost surely, 2^151793468190 is an apocalyptic number.

151793468190 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 151793468190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251392167936).

151793468190 is an abundant number, since it is smaller than the sum of its proper divisors (350990867682).

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

151793468190 is a wasteful number, since it uses less digits than its factorization.

151793468190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 151793468190 in words is "one hundred fifty-one billion, seven hundred ninety-three million, four hundred sixty-eight thousand, one hundred ninety".