151295697720 has 256 divisors, whose sum is σ = 517757184000. Its totient is φ = 39775639680.

The previous prime is 151295697703. The next prime is 151295697727. The reversal of 151295697720 is 27796592151.

It is a happy number.

151295697720 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 9 + 569 + 7 + 72 + 0 = 666.

151295697720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151295697720² (a number of 23 digits) contains 22 as substring.

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 (151295697727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6198901 + ... + 6223259.

It is an arithmetic number, because the mean of its divisors is an integer number (2022489000).

Almost surely, 2^151295697720 is an apocalyptic number.

151295697720 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 151295697720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258878592000).

151295697720 is an abundant number, since it is smaller than the sum of its proper divisors (366461486280).

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

151295697720 is an equidigital number, since it uses as much as digits as its factorization.

151295697720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24462 (or 24440 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 151295697720 in words is "one hundred fifty-one billion, two hundred ninety-five million, six hundred ninety-seven thousand, seven hundred twenty".