147749892828720 has 3840 divisors, whose sum is σ = 639023099904000. Its totient is φ = 28188704194560.

The previous prime is 147749892828683. The next prime is 147749892828743. The reversal of 147749892828720 is 27828298947741.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2023971134604 + ... + 2023971134676.

It is an arithmetic number, because the mean of its divisors is an integer number (166412265600).

Almost surely, 2^{147749892828720} is an apocalyptic number.

147749892828720 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 147749892828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319511549952000).

147749892828720 is an abundant number, since it is smaller than the sum of its proper divisors (491273207075280).

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

147749892828720 is a wasteful number, since it uses less digits than its factorization.

147749892828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1820786688, while the sum is 78.

The spelling of 147749892828720 in words is "one hundred forty-seven trillion, seven hundred forty-nine billion, eight hundred ninety-two million, eight hundred twenty-eight thousand, seven hundred twenty".