145135800 has 360 divisors, whose sum is σ = 552747360. Its totient is φ = 35251200.

The previous prime is 145135799. The next prime is 145135801. The reversal of 145135800 is 8531541.

It is an interprime number because it is at equal distance from previous prime (145135799) and next prime (145135801).

It is a tau number, because it is divible by the number of its divisors (360).

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 (145135801) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4681785 + ... + 4681815.

Almost surely, 2^145135800 is an apocalyptic number.

145135800 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 145135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276373680).

145135800 is an abundant number, since it is smaller than the sum of its proper divisors (407611560).

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

145135800 is a wasteful number, since it uses less digits than its factorization.

145135800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 145135800 is about 12047.2320472381. The cubic root of 145135800 is about 525.5227446344.

The spelling of 145135800 in words is "one hundred forty-five million, one hundred thirty-five thousand, eight hundred".