145207296 has 208 divisors, whose sum is σ = 467869920. Its totient is φ = 44236800.

The previous prime is 145207261. The next prime is 145207339. The reversal of 145207296 is 692702541.

It is a tau number, because it is divible by the number of its divisors (208).

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 145207296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437646 + ... + 1437746.

Almost surely, 2^145207296 is an apocalyptic number.

145207296 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 145207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233934960).

145207296 is an abundant number, since it is smaller than the sum of its proper divisors (322662624).

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

145207296 is a wasteful number, since it uses less digits than its factorization.

145207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

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

The square root of 145207296 is about 12050.1990025061. The cubic root of 145207296 is about 525.6090238437.

The spelling of 145207296 in words is "one hundred forty-five million, two hundred seven thousand, two hundred ninety-six".