145904629760 has 384 divisors, whose sum is σ = 403058073600. Its totient is φ = 50323783680.

The previous prime is 145904629757. The next prime is 145904629769. The reversal of 145904629760 is 67926409541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145904629769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102532409 + ... + 102533831.

It is an arithmetic number, because the mean of its divisors is an integer number (1049630400).

Almost surely, 2^145904629760 is an apocalyptic number.

145904629760 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 145904629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201529036800).

145904629760 is an abundant number, since it is smaller than the sum of its proper divisors (257153443840).

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

145904629760 is a wasteful number, since it uses less digits than its factorization.

145904629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 145904629760 in words is "one hundred forty-five billion, nine hundred four million, six hundred twenty-nine thousand, seven hundred sixty".