152497536 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 48642048.

The previous prime is 152497523. The next prime is 152497537. The reversal of 152497536 is 635794251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152497537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200705 + ... + 1200831.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^152497536 is an apocalyptic number.

152497536 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 152497536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

152497536 is an abundant number, since it is smaller than the sum of its proper divisors (270516864).

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

152497536 is a wasteful number, since it uses less digits than its factorization.

152497536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 152497536 is about 12348.9892703816. The cubic root of 152497536 is about 534.2619876193.

It can be divided in two parts, 1524 and 97536, that multiplied together give a square (148644864 = 12192²).

The spelling of 152497536 in words is "one hundred fifty-two million, four hundred ninety-seven thousand, five hundred thirty-six".