152535492 has 72 divisors (see below), whose sum is σ = 417021696. Its totient is φ = 46827264.

The previous prime is 152535463. The next prime is 152535499. The reversal of 152535492 is 294535251.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (152535499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26113 + ... + 31415.

It is an arithmetic number, because the mean of its divisors is an integer number (5791968).

Almost surely, 2^152535492 is an apocalyptic number.

152535492 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 152535492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208510848).

152535492 is an abundant number, since it is smaller than the sum of its proper divisors (264486204).

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

152535492 is a wasteful number, since it uses less digits than its factorization.

152535492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5372 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 152535492 is about 12350.5259807022. The cubic root of 152535492 is about 534.3063091351.

The spelling of 152535492 in words is "one hundred fifty-two million, five hundred thirty-five thousand, four hundred ninety-two".