145335677520 has 160 divisors (see below), whose sum is σ = 496093248000. Its totient is φ = 34903544320.

The previous prime is 145335677489. The next prime is 145335677521. The reversal of 145335677520 is 25776533541.

It is a super-2 number, since 2×145335677520² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145335677520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145335677521) 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, 25231 + ... + 539729.

It is an arithmetic number, because the mean of its divisors is an integer number (3100582800).

Almost surely, 2^145335677520 is an apocalyptic number.

145335677520 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 145335677520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248046624000).

145335677520 is an abundant number, since it is smaller than the sum of its proper divisors (350757570480).

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

145335677520 is a wasteful number, since it uses less digits than its factorization.

145335677520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514633 (or 514627 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The spelling of 145335677520 in words is "one hundred forty-five billion, three hundred thirty-five million, six hundred seventy-seven thousand, five hundred twenty".