145392952320 has 1760 divisors, whose sum is σ = 676244954880. Its totient is φ = 28983951360.

The previous prime is 145392952297. The next prime is 145392952339. The reversal of 145392952320 is 23259293541.

145392952320 is a `hidden beast` number, since 1 + 4 + 5 + 39 + 295 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×145392952320² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 926069682 + ... + 926069838.

It is an arithmetic number, because the mean of its divisors is an integer number (384230088).

Almost surely, 2^145392952320 is an apocalyptic number.

145392952320 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 145392952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338122477440).

145392952320 is an abundant number, since it is smaller than the sum of its proper divisors (530852002560).

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

145392952320 is a wasteful number, since it uses less digits than its factorization.

145392952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 145392952320 in words is "one hundred forty-five billion, three hundred ninety-two million, nine hundred fifty-two thousand, three hundred twenty".