151294279680 has 512 divisors, whose sum is σ = 561692620800. Its totient is φ = 38565052416.

The previous prime is 151294279663. The next prime is 151294279681. The reversal of 151294279680 is 86972492151.

It is a happy number.

151294279680 is a `hidden beast` number, since 1 + 5 + 1 + 294 + 279 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151294279681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101743897 + ... + 101745383.

It is an arithmetic number, because the mean of its divisors is an integer number (1097055900).

Almost surely, 2^151294279680 is an apocalyptic number.

151294279680 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 151294279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280846310400).

151294279680 is an abundant number, since it is smaller than the sum of its proper divisors (410398341120).

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

151294279680 is an equidigital number, since it uses as much as digits as its factorization.

151294279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 151294279680 in words is "one hundred fifty-one billion, two hundred ninety-four million, two hundred seventy-nine thousand, six hundred eighty".