145038600 has 240 divisors, whose sum is σ = 576153600. Its totient is φ = 33125760.

The previous prime is 145038589. The next prime is 145038601. The reversal of 145038600 is 6830541.

145038600 is a `hidden beast` number, since 1 + 4 + 50 + 3 + 8 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145038601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 112761 + ... + 114039.

It is an arithmetic number, because the mean of its divisors is an integer number (2400640).

Almost surely, 2^145038600 is an apocalyptic number.

145038600 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 145038600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288076800).

145038600 is an abundant number, since it is smaller than the sum of its proper divisors (431115000).

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

145038600 is a wasteful number, since it uses less digits than its factorization.

145038600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145038600 is about 12043.1972499000. The cubic root of 145038600 is about 525.4054011573.

The spelling of 145038600 in words is "one hundred forty-five million, thirty-eight thousand, six hundred".