152137353280640 has 1024 divisors, whose sum is σ = 465627178598400. Its totient is φ = 46239152209920.

The previous prime is 152137353280613. The next prime is 152137353280663. The reversal of 152137353280640 is 46082353731251.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211595762201 + ... + 211595762919.

It is an arithmetic number, because the mean of its divisors is an integer number (454714041600).

Almost surely, 2^{152137353280640} is an apocalyptic number.

152137353280640 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 152137353280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232813589299200).

152137353280640 is an abundant number, since it is smaller than the sum of its proper divisors (313489825317760).

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

152137353280640 is a wasteful number, since it uses less digits than its factorization.

152137353280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 152137353280640 in words is "one hundred fifty-two trillion, one hundred thirty-seven billion, three hundred fifty-three million, two hundred eighty thousand, six hundred forty".