145539072 has 240 divisors, whose sum is σ = 503301120. Its totient is φ = 40697856.

The previous prime is 145539071. The next prime is 145539077. The reversal of 145539072 is 270935541.

145539072 is a `hidden beast` number, since 14 + 553 + 90 + 7 + 2 = 666.

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 (145539071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096553 + ... + 3096599.

It is an arithmetic number, because the mean of its divisors is an integer number (2097088).

Almost surely, 2^145539072 is an apocalyptic number.

145539072 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 145539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251650560).

145539072 is an abundant number, since it is smaller than the sum of its proper divisors (357762048).

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

145539072 is an frugal number, since it uses more digits than its factorization.

145539072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 145539072 is about 12063.9575596070. The cubic root of 145539072 is about 526.0090308656.

The spelling of 145539072 in words is "one hundred forty-five million, five hundred thirty-nine thousand, seventy-two".