145779720192 has 432 divisors, whose sum is σ = 458016249600. Its totient is φ = 46246920192.

The previous prime is 145779720181. The next prime is 145779720199. The reversal of 145779720192 is 291027977541.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145779720199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732561309 + ... + 732561507.

It is an arithmetic number, because the mean of its divisors is an integer number (1060222800).

Almost surely, 2^145779720192 is an apocalyptic number.

145779720192 is a gapful number since it is divisible by the number (12) 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 145779720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229008124800).

145779720192 is an abundant number, since it is smaller than the sum of its proper divisors (312236529408).

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

145779720192 is an frugal number, since it uses more digits than its factorization.

145779720192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 145779720192 in words is "one hundred forty-five billion, seven hundred seventy-nine million, seven hundred twenty thousand, one hundred ninety-two".