145757700 has 108 divisors (see below), whose sum is σ = 498436848. Its totient is φ = 35332800.

The previous prime is 145757687. The next prime is 145757707. The reversal of 145757700 is 7757541.

145757700 is a `hidden beast` number, since 14 + 575 + 7 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145757707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2539 + ... + 17261.

It is an arithmetic number, because the mean of its divisors is an integer number (4615156).

Almost surely, 2^145757700 is an apocalyptic number.

145757700 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 145757700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249218424).

145757700 is an abundant number, since it is smaller than the sum of its proper divisors (352679148).

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

145757700 is a wasteful number, since it uses less digits than its factorization.

145757700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14754 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 145757700 is about 12073.0153648540. The cubic root of 145757700 is about 526.2722883871.

The spelling of 145757700 in words is "one hundred forty-five million, seven hundred fifty-seven thousand, seven hundred".