151293963060 has 144 divisors (see below), whose sum is σ = 470434844880. Its totient is φ = 39334533120.

The previous prime is 151293963049. The next prime is 151293963143. The reversal of 151293963060 is 60369392151.

151293963060 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 9 + 3 + 9 + 630 + 6 + 0 = 666.

151293963060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 343064484 + 150950898576 = 18522^2 + 388524^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 151293962997 and 151293963015.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12488286 + ... + 12500394.

It is an arithmetic number, because the mean of its divisors is an integer number (3266908645).

Almost surely, 2^151293963060 is an apocalyptic number.

151293963060 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 151293963060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235217422440).

151293963060 is an abundant number, since it is smaller than the sum of its proper divisors (319140881820).

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

151293963060 is a wasteful number, since it uses less digits than its factorization.

151293963060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 151293963060 in words is "one hundred fifty-one billion, two hundred ninety-three million, nine hundred sixty-three thousand, sixty".