151296455772 has 864 divisors, whose sum is σ = 537793267200. Its totient is φ = 35984424960.

The previous prime is 151296455759. The next prime is 151296455773. The reversal of 151296455772 is 277554692151.

151296455772 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 9 + 64 + 5 + 577 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5292000) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151296455773) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1559757228 + ... + 1559757324.

Almost surely, 2^151296455772 is an apocalyptic number.

151296455772 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 151296455772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268896633600).

151296455772 is an abundant number, since it is smaller than the sum of its proper divisors (386496811428).

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

151296455772 is a wasteful number, since it uses less digits than its factorization.

151296455772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 196 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 151296455772 in words is "one hundred fifty-one billion, two hundred ninety-six million, four hundred fifty-five thousand, seven hundred seventy-two".