152260366720 has 384 divisors, whose sum is σ = 482125374720. Its totient is φ = 44661964800.

The previous prime is 152260366691. The next prime is 152260366789. The reversal of 152260366720 is 27663062251.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14236575 + ... + 14247265.

It is an arithmetic number, because the mean of its divisors is an integer number (1255534830).

Almost surely, 2^152260366720 is an apocalyptic number.

152260366720 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 152260366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241062687360).

152260366720 is an abundant number, since it is smaller than the sum of its proper divisors (329865008000).

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

152260366720 is a wasteful number, since it uses less digits than its factorization.

152260366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 152260366720 in words is "one hundred fifty-two billion, two hundred sixty million, three hundred sixty-six thousand, seven hundred twenty".