146154555332064 has 144 divisors (see below), whose sum is σ = 418417598761344. Its totient is φ = 48391142688000.

The previous prime is 146154555332057. The next prime is 146154555332087. The reversal of 146154555332064 is 460233555451641.

146154555332064 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 5 + 4 + 5 + 553 + 3 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×146154555332064² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146154555332064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496094307 + ... + 496388829.

It is an arithmetic number, because the mean of its divisors is an integer number (2905677769176).

Almost surely, 2^{146154555332064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146154555332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209208799380672).

146154555332064 is an abundant number, since it is smaller than the sum of its proper divisors (272263043429280).

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

146154555332064 is a wasteful number, since it uses less digits than its factorization.

146154555332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306101 (or 306090 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 146154555332064 in words is "one hundred forty-six trillion, one hundred fifty-four billion, five hundred fifty-five million, three hundred thirty-two thousand, sixty-four".