151941847680 has 640 divisors, whose sum is σ = 622202676480. Its totient is φ = 34613526528.

The previous prime is 151941847679. The next prime is 151941847691. The reversal of 151941847680 is 86748149151.

151941847680 is a `hidden beast` number, since 1 + 5 + 1 + 94 + 1 + 8 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×151941847680³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157126557 + ... + 157127523.

It is an arithmetic number, because the mean of its divisors is an integer number (972191682).

Almost surely, 2^151941847680 is an apocalyptic number.

151941847680 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 151941847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311101338240).

151941847680 is an abundant number, since it is smaller than the sum of its proper divisors (470260828800).

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

151941847680 is an equidigital number, since it uses as much as digits as its factorization.

151941847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 151941847680 in words is "one hundred fifty-one billion, nine hundred forty-one million, eight hundred forty-seven thousand, six hundred eighty".