145151826960 has 160 divisors (see below), whose sum is σ = 541318210560. Its totient is φ = 31431366144.

The previous prime is 145151826929. The next prime is 145151826961. The reversal of 145151826960 is 69628151541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (145151826961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2241762 + ... + 2305601.

It is an arithmetic number, because the mean of its divisors is an integer number (3383238816).

Almost surely, 2^145151826960 is an apocalyptic number.

145151826960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145151826960 is an abundant number, since it is smaller than the sum of its proper divisors (396166383600).

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

145151826960 is a wasteful number, since it uses less digits than its factorization.

145151826960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547405 (or 4547399 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 145151826960 in words is "one hundred forty-five billion, one hundred fifty-one million, eight hundred twenty-six thousand, nine hundred sixty".