151783066512 has 1280 divisors, whose sum is σ = 604608921600. Its totient is φ = 35271936000.

The previous prime is 151783066511. The next prime is 151783066529. The reversal of 151783066512 is 215660387151.

151783066512 is a `hidden beast` number, since 1 + 5 + 1 + 78 + 3 + 0 + 66 + 512 = 666.

It is a super-2 number, since 2×151783066512² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (151783066511) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1195142193 + ... + 1195142319.

It is an arithmetic number, because the mean of its divisors is an integer number (472350720).

Almost surely, 2^151783066512 is an apocalyptic number.

151783066512 is a gapful number since it is divisible by the number (12) 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 151783066512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302304460800).

151783066512 is an abundant number, since it is smaller than the sum of its proper divisors (452825855088).

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

151783066512 is a wasteful number, since it uses less digits than its factorization.

151783066512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 151783066512 in words is "one hundred fifty-one billion, seven hundred eighty-three million, sixty-six thousand, five hundred twelve".