145335456900 has 216 divisors, whose sum is σ = 474235105344. Its totient is φ = 38607062400.

The previous prime is 145335456869. The next prime is 145335456913. The reversal of 145335456900 is 9654533541.

145335456900 is a `hidden beast` number, since 1 + 4 + 5 + 33 + 54 + 569 + 0 + 0 = 666.

It is a super-2 number, since 2×145335456900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6379530 + ... + 6402270.

Almost surely, 2^145335456900 is an apocalyptic number.

145335456900 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 145335456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237117552672).

145335456900 is an abundant number, since it is smaller than the sum of its proper divisors (328899648444).

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

145335456900 is a wasteful number, since it uses less digits than its factorization.

145335456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23033 (or 23014 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 145335456900 in words is "one hundred forty-five billion, three hundred thirty-five million, four hundred fifty-six thousand, nine hundred".