151951355136 has 1080 divisors, whose sum is σ = 588710263680. Its totient is φ = 38626689024.

The previous prime is 151951355131. The next prime is 151951355137. The reversal of 151951355136 is 631553159151.

It is a happy number.

151951355136 is a `hidden beast` number, since 1 + 5 + 1 + 95 + 1 + 3 + 551 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151951355091 and 151951355100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151951355131) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 328188441 + ... + 328188903.

It is an arithmetic number, because the mean of its divisors is an integer number (545102096).

Almost surely, 2^151951355136 is an apocalyptic number.

151951355136 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 151951355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294355131840).

151951355136 is an abundant number, since it is smaller than the sum of its proper divisors (436758908544).

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

151951355136 is a wasteful number, since it uses less digits than its factorization.

151951355136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 511 counting only the distinct ones).

The product of its digits is 303750, while the sum is 45.

The spelling of 151951355136 in words is "one hundred fifty-one billion, nine hundred fifty-one million, three hundred fifty-five thousand, one hundred thirty-six".