145746180 has 36 divisors (see below), whose sum is σ = 442097292. Its totient is φ = 38865600.

The previous prime is 145746149. The next prime is 145746187. The reversal of 145746180 is 81647541.

It is a happy number.

145746180 is a `hidden beast` number, since 1 + 4 + 574 + 6 + 1 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 94595076 = 7152^2 + 9726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (145746187) 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 11 ways as a sum of consecutive naturals, for example, 404671 + ... + 405030.

Almost surely, 2^145746180 is an apocalyptic number.

145746180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145746180 is an abundant number, since it is smaller than the sum of its proper divisors (296351112).

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

145746180 is a wasteful number, since it uses less digits than its factorization.

145746180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809716 (or 809711 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145746180 is about 12072.5382583780. The cubic root of 145746180 is about 526.2584233300.

It can be divided in two parts, 1457461 and 80, that added together give a palindrome (1457541).

The spelling of 145746180 in words is "one hundred forty-five million, seven hundred forty-six thousand, one hundred eighty".