152444230126240 has 384 divisors, whose sum is σ = 422423934105600. Its totient is φ = 51476194344960.

The previous prime is 152444230126189. The next prime is 152444230126277. The reversal of 152444230126240 is 42621032444251.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 152444230126193 and 152444230126202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8871796689 + ... + 8871813871.

It is an arithmetic number, because the mean of its divisors is an integer number (1100062328400).

Almost surely, 2^{152444230126240} is an apocalyptic number.

152444230126240 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 152444230126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211211967052800).

152444230126240 is an abundant number, since it is smaller than the sum of its proper divisors (269979703979360).

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

152444230126240 is a wasteful number, since it uses less digits than its factorization.

152444230126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000 (or 24992 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 152444230126240 in words is "one hundred fifty-two trillion, four hundred forty-four billion, two hundred thirty million, one hundred twenty-six thousand, two hundred forty".