145240552122120 has 768 divisors, whose sum is σ = 586745406374400. Its totient is φ = 30340623237120.

The previous prime is 145240552122097. The next prime is 145240552122157. The reversal of 145240552122120 is 21221255042541.

It is a happy number.

145240552122120 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 4 + 0 + 5 + 521 + 2 + 2 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1334031046 + ... + 1334139914.

It is an arithmetic number, because the mean of its divisors is an integer number (763991414550).

Almost surely, 2^{145240552122120} is an apocalyptic number.

145240552122120 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 145240552122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293372703187200).

145240552122120 is an abundant number, since it is smaller than the sum of its proper divisors (441504854252280).

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

145240552122120 is a wasteful number, since it uses less digits than its factorization.

145240552122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109310 (or 109303 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 145240552122120 in words is "one hundred forty-five trillion, two hundred forty billion, five hundred fifty-two million, one hundred twenty-two thousand, one hundred twenty".