152245413840 has 160 divisors (see below), whose sum is σ = 508669693056. Its totient is φ = 37445990400.

The previous prime is 152245413829. The next prime is 152245413851. The reversal of 152245413840 is 48314542251.

It is an interprime number because it is at equal distance from previous prime (152245413829) and next prime (152245413851).

It is a super-3 number, since 3×152245413840³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4040367 + ... + 4077873.

Almost surely, 2^152245413840 is an apocalyptic number.

152245413840 is a gapful number since it is divisible by the number (10) 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 152245413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254334846528).

152245413840 is an abundant number, since it is smaller than the sum of its proper divisors (356424279216).

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

152245413840 is a wasteful number, since it uses less digits than its factorization.

152245413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38837 (or 38831 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 152245413840 in words is "one hundred fifty-two billion, two hundred forty-five million, four hundred thirteen thousand, eight hundred forty".