145141920 has 648 divisors, whose sum is σ = 670554612. Its totient is φ = 28385280.

The previous prime is 145141901. The next prime is 145141921. The reversal of 145141920 is 29141541.

It can be written as a sum of positive squares in 2 ways, for example, as 144288144 + 853776 = 12012^2 + 924^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145141921) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8537752 + ... + 8537768.

Almost surely, 2^145141920 is an apocalyptic number.

145141920 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 145141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335277306).

145141920 is an abundant number, since it is smaller than the sum of its proper divisors (525412692).

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

145141920 is a wasteful number, since it uses less digits than its factorization.

145141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 145141920 is about 12047.4860448145. The cubic root of 145141920 is about 525.5301311740.

The spelling of 145141920 in words is "one hundred forty-five million, one hundred forty-one thousand, nine hundred twenty".