146555102256240 has 320 divisors, whose sum is σ = 459654580224000. Its totient is φ = 38625123704832.

The previous prime is 146555102256239. The next prime is 146555102256263. The reversal of 146555102256240 is 42652201555641.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146555102256240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12009753979 + ... + 12009766181.

It is an arithmetic number, because the mean of its divisors is an integer number (1436420563200).

Almost surely, 2^{146555102256240} is an apocalyptic number.

146555102256240 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 146555102256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229827290112000).

146555102256240 is an abundant number, since it is smaller than the sum of its proper divisors (313099477967760).

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

146555102256240 is a wasteful number, since it uses less digits than its factorization.

146555102256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13824 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 146555102256240 in words is "one hundred forty-six trillion, five hundred fifty-five billion, one hundred two million, two hundred fifty-six thousand, two hundred forty".