145707600 has 240 divisors, whose sum is σ = 498182400. Its totient is φ = 36341760.

The previous prime is 145707593. The next prime is 145707613. The reversal of 145707600 is 6707541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844361 + ... + 1844439.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^145707600 is an apocalyptic number.

145707600 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 145707600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

145707600 is an abundant number, since it is smaller than the sum of its proper divisors (352474800).

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

145707600 is a wasteful number, since it uses less digits than its factorization.

145707600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 145707600 is about 12070.9403113428. The cubic root of 145707600 is about 526.2119845104.

The spelling of 145707600 in words is "one hundred forty-five million, seven hundred seven thousand, six hundred".