146013504 has 224 divisors, whose sum is σ = 486802176. Its totient is φ = 37601280.

The previous prime is 146013481. The next prime is 146013533. The reversal of 146013504 is 405310641.

146013504 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 1065724 + ... + 1065860.

It is an arithmetic number, because the mean of its divisors is an integer number (2173224).

Almost surely, 2^146013504 is an apocalyptic number.

146013504 is a gapful number since it is divisible by the number (14) 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 146013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243401088).

146013504 is an abundant number, since it is smaller than the sum of its proper divisors (340788672).

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

146013504 is a wasteful number, since it uses less digits than its factorization.

146013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 146013504 is about 12083.6047601699. The cubic root of 146013504 is about 526.5799768298.

The spelling of 146013504 in words is "one hundred forty-six million, thirteen thousand, five hundred four".