151963734510 has 192 divisors, whose sum is σ = 476003174400. Its totient is φ = 32858804736.

The previous prime is 151963734497. The next prime is 151963734511. The reversal of 151963734510 is 15437369151.

151963734510 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 63 + 73 + 4 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151963734511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8597602 + ... + 8615258.

It is an arithmetic number, because the mean of its divisors is an integer number (2479183200).

Almost surely, 2^151963734510 is an apocalyptic number.

151963734510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151963734510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238001587200).

151963734510 is an abundant number, since it is smaller than the sum of its proper divisors (324039439890).

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

151963734510 is a wasteful number, since it uses less digits than its factorization.

151963734510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 151963734510 in words is "one hundred fifty-one billion, nine hundred sixty-three million, seven hundred thirty-four thousand, five hundred ten".