152388000336 has 480 divisors, whose sum is σ = 497362166784. Its totient is φ = 39756288000.

The previous prime is 152388000287. The next prime is 152388000337. The reversal of 152388000336 is 633000883251.

It is a super-2 number, since 2×152388000336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 152388000294 and 152388000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152388000337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84144871 + ... + 84146681.

Almost surely, 2^152388000336 is an apocalyptic number.

152388000336 is a gapful number since it is divisible by the number (16) 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 152388000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248681083392).

152388000336 is an abundant number, since it is smaller than the sum of its proper divisors (344974166448).

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

152388000336 is a wasteful number, since it uses less digits than its factorization.

152388000336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 152388000336 its reverse (633000883251), we get a palindrome (785388883587).

The spelling of 152388000336 in words is "one hundred fifty-two billion, three hundred eighty-eight million, three hundred thirty-six", and thus it is an aban number.