151641538560 has 300 divisors, whose sum is σ = 543670195068. Its totient is φ = 40435974144.

The previous prime is 151641538549. The next prime is 151641538589. The reversal of 151641538560 is 65835146151.

It is a happy number.

151641538560 is a `hidden beast` number, since 1 + 5 + 1 + 64 + 1 + 538 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39261044736 + 112380493824 = 198144^2 + 335232^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6624094 + ... + 6646946.

Almost surely, 2^151641538560 is an apocalyptic number.

151641538560 is a gapful number since it is divisible by the number (10) 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 151641538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271835097534).

151641538560 is an abundant number, since it is smaller than the sum of its proper divisors (392028656508).

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

151641538560 is an frugal number, since it uses more digits than its factorization.

151641538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22898 (or 22863 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 151641538560 in words is "one hundred fifty-one billion, six hundred forty-one million, five hundred thirty-eight thousand, five hundred sixty".