152066665146000 has 1280 divisors, whose sum is σ = 551764998779904. Its totient is φ = 35721216000000.

The previous prime is 152066665145951. The next prime is 152066665146029. The reversal of 152066665146000 is 641566660251.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66666664860 + ... + 66666667140.

Almost surely, 2^{152066665146000} is an apocalyptic number.

152066665146000 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 152066665146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275882499389952).

152066665146000 is an abundant number, since it is smaller than the sum of its proper divisors (399698333633904).

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

152066665146000 is a wasteful number, since it uses less digits than its factorization.

152066665146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

It can be divided in two parts, 1520666 and 65146000, that added together give a palindrome (66666666).

The spelling of 152066665146000 in words is "one hundred fifty-two trillion, sixty-six billion, six hundred sixty-five million, one hundred forty-six thousand".