152836809552 has 560 divisors, whose sum is σ = 541000373760. Its totient is φ = 40836503808.

The previous prime is 152836809523. The next prime is 152836809581. The reversal of 152836809552 is 255908638251.

It is a happy number.

152836809552 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 3 + 6 + 80 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (152836809523) and next prime (152836809581).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128758303 + ... + 128759489.

It is an arithmetic number, because the mean of its divisors is an integer number (966072096).

Almost surely, 2^152836809552 is an apocalyptic number.

152836809552 is a gapful number since it is divisible by the number (12) 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 152836809552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270500186880).

152836809552 is an abundant number, since it is smaller than the sum of its proper divisors (388163564208).

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

152836809552 is a wasteful number, since it uses less digits than its factorization.

152836809552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 152836809552 in words is "one hundred fifty-two billion, eight hundred thirty-six million, eight hundred nine thousand, five hundred fifty-two".