151934118336 has 2240 divisors, whose sum is σ = 674122014720. Its totient is φ = 32517365760.

The previous prime is 151934118319. The next prime is 151934118337. The reversal of 151934118336 is 633811439151.

151934118336 is a `hidden beast` number, since 15 + 193 + 4 + 118 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151934118291 and 151934118300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151934118337) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2267673375 + ... + 2267673441.

It is an arithmetic number, because the mean of its divisors is an integer number (300947328).

Almost surely, 2^151934118336 is an apocalyptic number.

151934118336 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 151934118336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337061007360).

151934118336 is an abundant number, since it is smaller than the sum of its proper divisors (522187896384).

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

151934118336 is a wasteful number, since it uses less digits than its factorization.

151934118336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 151934118336 in words is "one hundred fifty-one billion, nine hundred thirty-four million, one hundred eighteen thousand, three hundred thirty-six".