145045236960 has 864 divisors, whose sum is σ = 570357365760. Its totient is φ = 33557981184.

The previous prime is 145045236913. The next prime is 145045236977. The reversal of 145045236960 is 69632540541.

145045236960 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 4 + 523 + 69 + 60 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1142088417 + ... + 1142088543.

It is an arithmetic number, because the mean of its divisors is an integer number (660135840).

Almost surely, 2^145045236960 is an apocalyptic number.

145045236960 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 145045236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285178682880).

145045236960 is an abundant number, since it is smaller than the sum of its proper divisors (425312128800).

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

145045236960 is a wasteful number, since it uses less digits than its factorization.

145045236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 145045236960 in words is "one hundred forty-five billion, forty-five million, two hundred thirty-six thousand, nine hundred sixty".