152605045509120 has 2640 divisors, whose sum is σ = 602703744039936. Its totient is φ = 36876902400000.

The previous prime is 152605045509107. The next prime is 152605045509121. The reversal of 152605045509120 is 21905540506251.

152605045509120 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 0 + 5 + 0 + 4 + 550 + 91 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152605045509121) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 607988228995 + ... + 607988229245.

Almost surely, 2^{152605045509120} is an apocalyptic number.

152605045509120 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 152605045509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301351872019968).

152605045509120 is an abundant number, since it is smaller than the sum of its proper divisors (450098698530816).

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

152605045509120 is a wasteful number, since it uses less digits than its factorization.

152605045509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 152605045509120 in words is "one hundred fifty-two trillion, six hundred five billion, forty-five million, five hundred nine thousand, one hundred twenty".