145191120 has 80 divisors (see below), whose sum is σ = 451256832. Its totient is φ = 38617600.

The previous prime is 145191089. The next prime is 145191121. The reversal of 145191120 is 21191541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145191120² = 42160922653708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145191121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167809 + ... + 168671.

Almost surely, 2^145191120 is an apocalyptic number.

145191120 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 145191120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225628416).

145191120 is an abundant number, since it is smaller than the sum of its proper divisors (306065712).

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

145191120 is a wasteful number, since it uses less digits than its factorization.

145191120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 145191120 is about 12049.5277915776. The cubic root of 145191120 is about 525.5895056158.

The spelling of 145191120 in words is "one hundred forty-five million, one hundred ninety-one thousand, one hundred twenty".