145972320 has 192 divisors, whose sum is σ = 501681600. Its totient is φ = 35463168.

The previous prime is 145972261. The next prime is 145972367. The reversal of 145972320 is 23279541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929682 + ... + 929838.

It is an arithmetic number, because the mean of its divisors is an integer number (2612925).

Almost surely, 2^145972320 is an apocalyptic number.

145972320 is a gapful number since it is divisible by the number (10) 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 145972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250840800).

145972320 is an abundant number, since it is smaller than the sum of its proper divisors (355709280).

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

145972320 is a wasteful number, since it uses less digits than its factorization.

145972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 145972320 is about 12081.9005127505. The cubic root of 145972320 is about 526.5304638089.

The spelling of 145972320 in words is "one hundred forty-five million, nine hundred seventy-two thousand, three hundred twenty".