145265400 has 432 divisors, whose sum is σ = 598164840. Its totient is φ = 32659200.

The previous prime is 145265399. The next prime is 145265413. The reversal of 145265400 is 4562541.

145265400 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 654 + 0 + 0 = 666.

It is a super-2 number, since 2×145265400² = 42204072874320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2381370 + ... + 2381430.

Almost surely, 2^145265400 is an apocalyptic number.

145265400 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 145265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299082420).

145265400 is an abundant number, since it is smaller than the sum of its proper divisors (452899440).

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

145265400 is a wasteful number, since it uses less digits than its factorization.

145265400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 145265400 is about 12052.6096759167. The cubic root of 145265400 is about 525.6791211345.

The spelling of 145265400 in words is "one hundred forty-five million, two hundred sixty-five thousand, four hundred".