151051863312 has 240 divisors, whose sum is σ = 520634534400. Its totient is φ = 41765310720.

The previous prime is 151051863293. The next prime is 151051863373. The reversal of 151051863312 is 213368150151.

It is a happy number.

151051863312 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 5 + 1 + 8 + 633 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541114 + ... + 771302.

It is an arithmetic number, because the mean of its divisors is an integer number (2169310560).

Almost surely, 2^151051863312 is an apocalyptic number.

151051863312 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 151051863312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260317267200).

151051863312 is an abundant number, since it is smaller than the sum of its proper divisors (369582671088).

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

151051863312 is a wasteful number, since it uses less digits than its factorization.

151051863312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230251 (or 230232 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 151051863312 in words is "one hundred fifty-one billion, fifty-one million, eight hundred sixty-three thousand, three hundred twelve".