145627758720 has 384 divisors, whose sum is σ = 531702662400. Its totient is φ = 36625858560.

The previous prime is 145627758707. The next prime is 145627758751. The reversal of 145627758720 is 27857726541.

145627758720 is a `hidden beast` number, since 1 + 4 + 5 + 627 + 7 + 5 + 8 + 7 + 2 + 0 = 666.

145627758720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25496665 + ... + 25502375.

It is an arithmetic number, because the mean of its divisors is an integer number (1384642350).

Almost surely, 2^145627758720 is an apocalyptic number.

145627758720 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 145627758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265851331200).

145627758720 is an abundant number, since it is smaller than the sum of its proper divisors (386074903680).

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

145627758720 is a wasteful number, since it uses less digits than its factorization.

145627758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 145627758720 in words is "one hundred forty-five billion, six hundred twenty-seven million, seven hundred fifty-eight thousand, seven hundred twenty".