145317120 has 288 divisors, whose sum is σ = 519208704. Its totient is φ = 34406400.

The previous prime is 145317113. The next prime is 145317127. The reversal of 145317120 is 21713541.

It is an interprime number because it is at equal distance from previous prime (145317113) and next prime (145317127).

It is a super-2 number, since 2×145317120² = 42234130730188800, 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 (145317127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046685 + ... + 2046755.

It is an arithmetic number, because the mean of its divisors is an integer number (1802808).

Almost surely, 2^145317120 is an apocalyptic number.

145317120 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 145317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259604352).

145317120 is an abundant number, since it is smaller than the sum of its proper divisors (373891584).

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

145317120 is a wasteful number, since it uses less digits than its factorization.

145317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 145317120 is about 12054.7550783913. The cubic root of 145317120 is about 525.7415009765.

The spelling of 145317120 in words is "one hundred forty-five million, three hundred seventeen thousand, one hundred twenty".