152245262526 has 192 divisors, whose sum is σ = 404416696320. Its totient is φ = 37838223360.

The previous prime is 152245262483. The next prime is 152245262527. The reversal of 152245262526 is 625262542251.

152245262526 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152245262526² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152245262527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3873891 + ... + 3912993.

It is an arithmetic number, because the mean of its divisors is an integer number (2106336960).

Almost surely, 2^152245262526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152245262526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202208348160).

152245262526 is an abundant number, since it is smaller than the sum of its proper divisors (252171433794).

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

152245262526 is a wasteful number, since it uses less digits than its factorization.

152245262526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39199 (or 39192 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The spelling of 152245262526 in words is "one hundred fifty-two billion, two hundred forty-five million, two hundred sixty-two thousand, five hundred twenty-six".