145947432960 has 1536 divisors, whose sum is σ = 644716800000. Its totient is φ = 31603654656.

The previous prime is 145947432947. The next prime is 145947433001. The reversal of 145947432960 is 69234749541.

145947432960 is a `hidden beast` number, since 1 + 4 + 59 + 474 + 32 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×145947432960² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145947432897 and 145947432906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7681443831 + ... + 7681443849.

It is an arithmetic number, because the mean of its divisors is an integer number (419737500).

Almost surely, 2^145947432960 is an apocalyptic number.

145947432960 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 145947432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322358400000).

145947432960 is an abundant number, since it is smaller than the sum of its proper divisors (498769367040).

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

145947432960 is an frugal number, since it uses more digits than its factorization.

145947432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 145947432960 in words is "one hundred forty-five billion, nine hundred forty-seven million, four hundred thirty-two thousand, nine hundred sixty".