146501120 has 80 divisors (see below), whose sum is σ = 355758480. Its totient is φ = 57851904.

The previous prime is 146501119. The next prime is 146501149. The reversal of 146501120 is 21105641.

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

It is a super-2 number, since 2×146501120² = 42925156322508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 146501092 and 146501101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227519 + ... + 228161.

It is an arithmetic number, because the mean of its divisors is an integer number (4446981).

Almost surely, 2^146501120 is an apocalyptic number.

146501120 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 146501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177879240).

146501120 is an abundant number, since it is smaller than the sum of its proper divisors (209257360).

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

146501120 is an frugal number, since it uses more digits than its factorization.

146501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 146501120 is about 12103.7647035953. The cubic root of 146501120 is about 527.1655014909.

Adding to 146501120 its reverse (21105641), we get a palindrome (167606761).

The spelling of 146501120 in words is "one hundred forty-six million, five hundred one thousand, one hundred twenty".