145734336 has 336 divisors, whose sum is σ = 510783840. Its totient is φ = 40550400.

The previous prime is 145734331. The next prime is 145734341. The reversal of 145734336 is 633437541.

145734336 is a `hidden beast` number, since 14 + 573 + 43 + 36 = 666.

145734336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145734331) and next prime (145734341).

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

It is a self number, because there is not a number n which added to its sum of digits gives 145734336.

It is not an unprimeable number, because it can be changed into a prime (145734331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554476 + ... + 3554516.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 2^145734336 is an apocalyptic number.

145734336 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 145734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255391920).

145734336 is an abundant number, since it is smaller than the sum of its proper divisors (365049504).

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

145734336 is a wasteful number, since it uses less digits than its factorization.

145734336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 145734336 is about 12072.0477136234. The cubic root of 145734336 is about 526.2441675565.

It can be divided in two parts, 145734 and 336, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 145734336 in words is "one hundred forty-five million, seven hundred thirty-four thousand, three hundred thirty-six".