145220152464 has 120 divisors (see below), whose sum is σ = 418623013952. Its totient is φ = 46967558400.

The previous prime is 145220152447. The next prime is 145220152489. The reversal of 145220152464 is 464251022541.

145220152464 is a `hidden beast` number, since 1 + 4 + 52 + 20 + 1 + 524 + 64 = 666.

145220152464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857334 + ... + 1012650.

Almost surely, 2^145220152464 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 145220152464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209311506976).

145220152464 is an abundant number, since it is smaller than the sum of its proper divisors (273402861488).

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

145220152464 is a wasteful number, since it uses less digits than its factorization.

145220152464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155525 (or 155516 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 145220152464 in words is "one hundred forty-five billion, two hundred twenty million, one hundred fifty-two thousand, four hundred sixty-four".