151061863680 has 1152 divisors, whose sum is σ = 669037501440. Its totient is φ = 31818645504.

The previous prime is 151061863669. The next prime is 151061863681. The reversal of 151061863680 is 86368160151.

151061863680 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 6 + 1 + 8 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (151061863681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254741464 + ... + 254742056.

It is an arithmetic number, because the mean of its divisors is an integer number (580761720).

Almost surely, 2^151061863680 is an apocalyptic number.

151061863680 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 151061863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334518750720).

151061863680 is an abundant number, since it is smaller than the sum of its proper divisors (517975637760).

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

151061863680 is an frugal number, since it uses more digits than its factorization.

151061863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 151061863680 in words is "one hundred fifty-one billion, sixty-one million, eight hundred sixty-three thousand, six hundred eighty".