145734059520 has 960 divisors, whose sum is σ = 611285875200. Its totient is φ = 33261871104.

The previous prime is 145734059509. The next prime is 145734059567. The reversal of 145734059520 is 25950437541.

145734059520 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 34 + 0 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×145734059520² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213373099 + ... + 213373781.

It is an arithmetic number, because the mean of its divisors is an integer number (636756120).

Almost surely, 2^145734059520 is an apocalyptic number.

145734059520 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 145734059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305642937600).

145734059520 is an abundant number, since it is smaller than the sum of its proper divisors (465551815680).

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

145734059520 is an frugal number, since it uses more digits than its factorization.

145734059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 145734059520 in words is "one hundred forty-five billion, seven hundred thirty-four million, fifty-nine thousand, five hundred twenty".