145427700 has 144 divisors (see below), whose sum is σ = 463970304. Its totient is φ = 34876800.

The previous prime is 145427693. The next prime is 145427701. The reversal of 145427700 is 7724541.

It is a super-2 number, since 2×145427700² = 42298431854580000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145427701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418927 + ... + 419273.

It is an arithmetic number, because the mean of its divisors is an integer number (3222016).

Almost surely, 2^145427700 is an apocalyptic number.

145427700 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 145427700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231985152).

145427700 is an abundant number, since it is smaller than the sum of its proper divisors (318542604).

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

145427700 is a wasteful number, since it uses less digits than its factorization.

145427700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 145427700 is about 12059.3407780028. The cubic root of 145427700 is about 525.8748226273.

The spelling of 145427700 in words is "one hundred forty-five million, four hundred twenty-seven thousand, seven hundred".