152403240842292 has 144 divisors (see below), whose sum is σ = 397534294886400. Its totient is φ = 45396057537600.

The previous prime is 152403240842269. The next prime is 152403240842323. The reversal of 152403240842292 is 292248042304251.

It is a super-3 number, since 3×152403240842292³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060412317 + ... + 1060556027.

It is an arithmetic number, because the mean of its divisors is an integer number (2760654825600).

Almost surely, 2^{152403240842292} is an apocalyptic number.

152403240842292 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 152403240842292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198767147443200).

152403240842292 is an abundant number, since it is smaller than the sum of its proper divisors (245131054044108).

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

152403240842292 is a wasteful number, since it uses less digits than its factorization.

152403240842292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156178 (or 156165 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

It can be divided in two parts, 1524032 and 40842292, that added together give a palindrome (42366324).

The spelling of 152403240842292 in words is "one hundred fifty-two trillion, four hundred three billion, two hundred forty million, eight hundred forty-two thousand, two hundred ninety-two".