152646034020480 has 3072 divisors, whose sum is σ = 730111961779200. Its totient is φ = 28359681638400.

The previous prime is 152646034020463. The next prime is 152646034020499. The reversal of 152646034020480 is 84020430646251.

152646034020480 is a `hidden beast` number, since 1 + 5 + 2 + 64 + 60 + 34 + 0 + 20 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51413280436 + ... + 51413283404.

It is an arithmetic number, because the mean of its divisors is an integer number (237666654225).

Almost surely, 2^{152646034020480} is an apocalyptic number.

152646034020480 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 152646034020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365055980889600).

152646034020480 is an abundant number, since it is smaller than the sum of its proper divisors (577465927758720).

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

152646034020480 is a wasteful number, since it uses less digits than its factorization.

152646034020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 152646034020480 in words is "one hundred fifty-two trillion, six hundred forty-six billion, thirty-four million, twenty thousand, four hundred eighty".