145436493720 has 256 divisors, whose sum is σ = 517431214080. Its totient is φ = 32011660800.

The previous prime is 145436493691. The next prime is 145436493751. The reversal of 145436493720 is 27394634541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 145436493720.

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, 2536165 + ... + 2592875.

It is an arithmetic number, because the mean of its divisors is an integer number (2021215680).

Almost surely, 2^145436493720 is an apocalyptic number.

145436493720 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 145436493720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258715607040).

145436493720 is an abundant number, since it is smaller than the sum of its proper divisors (371994720360).

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

145436493720 is a wasteful number, since it uses less digits than its factorization.

145436493720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56846 (or 56842 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 145436493720 in words is "one hundred forty-five billion, four hundred thirty-six million, four hundred ninety-three thousand, seven hundred twenty".