145272736 has 48 divisors (see below), whose sum is σ = 328418496. Its totient is φ = 61963776.

The previous prime is 145272733. The next prime is 145272739. The reversal of 145272736 is 637272541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145272733) and next prime (145272739).

It is a super-2 number, since 2×145272736² = 42208335649851392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145272695 and 145272704.

It is not an unprimeable number, because it can be changed into a prime (145272733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49420 + ... + 52276.

It is an arithmetic number, because the mean of its divisors is an integer number (6842052).

Almost surely, 2^145272736 is an apocalyptic number.

145272736 is a gapful number since it is divisible by the number (16) 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 145272736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164209248).

145272736 is an abundant number, since it is smaller than the sum of its proper divisors (183145760).

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

145272736 is a wasteful number, since it uses less digits than its factorization.

145272736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3093 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 145272736 is about 12052.9140045053. The cubic root of 145272736 is about 525.6879700348.

The spelling of 145272736 in words is "one hundred forty-five million, two hundred seventy-two thousand, seven hundred thirty-six".