145142100 has 216 divisors, whose sum is σ = 483406560. Its totient is φ = 36368640.

The previous prime is 145142089. The next prime is 145142113. The reversal of 145142100 is 1241541.

145142100 is a `hidden beast` number, since 1 + 451 + 4 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1748659 + ... + 1748741.

Almost surely, 2^145142100 is an apocalyptic number.

145142100 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 145142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

145142100 is an abundant number, since it is smaller than the sum of its proper divisors (338264460).

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

145142100 is a wasteful number, since it uses less digits than its factorization.

145142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 145142100 is about 12047.4935152504. The cubic root of 145142100 is about 525.5303484220.

Adding to 145142100 its reverse (1241541), we get a palindrome (146383641).

The spelling of 145142100 in words is "one hundred forty-five million, one hundred forty-two thousand, one hundred".