152480120760 has 512 divisors, whose sum is σ = 569517696000. Its totient is φ = 35968665600.

The previous prime is 152480120731. The next prime is 152480120789. The reversal of 152480120760 is 67021084251.

152480120760 is a `hidden beast` number, since 1 + 52 + 480 + 120 + 7 + 6 + 0 = 666.

152480120760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152480120731) and next prime (152480120789).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 215063286 + ... + 215063994.

It is an arithmetic number, because the mean of its divisors is an integer number (1112339250).

Almost surely, 2^152480120760 is an apocalyptic number.

152480120760 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 152480120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284758848000).

152480120760 is an abundant number, since it is smaller than the sum of its proper divisors (417037575240).

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

152480120760 is a wasteful number, since it uses less digits than its factorization.

152480120760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 152480120760 in words is "one hundred fifty-two billion, four hundred eighty million, one hundred twenty thousand, seven hundred sixty".