145674180 has 192 divisors, whose sum is σ = 487226880. Its totient is φ = 36039168.

The previous prime is 145674167. The next prime is 145674181. The reversal of 145674180 is 81476541.

It is a happy number.

145674180 is a `hidden beast` number, since 14 + 567 + 4 + 1 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145674181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459382 + ... + 459698.

It is an arithmetic number, because the mean of its divisors is an integer number (2537640).

Almost surely, 2^145674180 is an apocalyptic number.

145674180 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 145674180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243613440).

145674180 is an abundant number, since it is smaller than the sum of its proper divisors (341552700).

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

145674180 is a wasteful number, since it uses less digits than its factorization.

145674180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

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

The square root of 145674180 is about 12069.5559156085. Note that the first 3 decimals coincide. The cubic root of 145674180 is about 526.1717501661.

The spelling of 145674180 in words is "one hundred forty-five million, six hundred seventy-four thousand, one hundred eighty".