145690272 has 384 divisors, whose sum is σ = 558835200. Its totient is φ = 35831808.

The previous prime is 145690267. The next prime is 145690273. The reversal of 145690272 is 272096541.

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 (145690273) 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, 1336554 + ... + 1336662.

It is an arithmetic number, because the mean of its divisors is an integer number (1455300).

Almost surely, 2^145690272 is an apocalyptic number.

145690272 is a gapful number since it is divisible by the number (12) 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 145690272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

145690272 is an abundant number, since it is smaller than the sum of its proper divisors (413144928).

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

145690272 is a wasteful number, since it uses less digits than its factorization.

145690272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145690272 is about 12070.2225331599. Note that the first 3 decimals coincide. The cubic root of 145690272 is about 526.1911240960.

The spelling of 145690272 in words is "one hundred forty-five million, six hundred ninety thousand, two hundred seventy-two".