146136244125564 has 240 divisors, whose sum is σ = 492719906004480. Its totient is φ = 36648587687040.

The previous prime is 146136244125559. The next prime is 146136244125577. The reversal of 146136244125564 is 465521442631641.

146136244125564 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 3 + 62 + 4 + 4 + 12 + 5 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 146136244125564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100270192 + ... + 101717175.

It is an arithmetic number, because the mean of its divisors is an integer number (2052999608352).

Almost surely, 2^{146136244125564} is an apocalyptic number.

146136244125564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146136244125564 is an abundant number, since it is smaller than the sum of its proper divisors (346583661878916).

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

146136244125564 is a wasteful number, since it uses less digits than its factorization.

146136244125564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201987430 (or 201987419 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

It can be divided in two parts, 1461362 and 44125564, that added together give a triangular number (45586926 = T₉₅₄₈).

The spelling of 146136244125564 in words is "one hundred forty-six trillion, one hundred thirty-six billion, two hundred forty-four million, one hundred twenty-five thousand, five hundred sixty-four".