145627614720 has 640 divisors, whose sum is σ = 593349166080. Its totient is φ = 33164328960.

The previous prime is 145627614701. The next prime is 145627614731. The reversal of 145627614720 is 27416726541.

145627614720 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 2 + 7 + 614 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 237565134 + ... + 237565746.

It is an arithmetic number, because the mean of its divisors is an integer number (927108072).

Almost surely, 2^145627614720 is an apocalyptic number.

145627614720 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 145627614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296674583040).

145627614720 is an abundant number, since it is smaller than the sum of its proper divisors (447721551360).

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

145627614720 is an equidigital number, since it uses as much as digits as its factorization.

145627614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 145627614720 in words is "one hundred forty-five billion, six hundred twenty-seven million, six hundred fourteen thousand, seven hundred twenty".