146752704 has 168 divisors, whose sum is σ = 509247648. Its totient is φ = 39444480.

The previous prime is 146752663. The next prime is 146752709. The reversal of 146752704 is 407257641.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×146752704² = 43072712262623232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146752709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67474 + ... + 69614.

It is an arithmetic number, because the mean of its divisors is an integer number (3031236).

Almost surely, 2^146752704 is an apocalyptic number.

146752704 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 146752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254623824).

146752704 is an abundant number, since it is smaller than the sum of its proper divisors (362494944).

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

146752704 is a wasteful number, since it uses less digits than its factorization.

146752704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 146752704 is about 12114.1530450956. The cubic root of 146752704 is about 527.4670931757.

It can be divided in two parts, 146752 and 704, that added together give a square (147456 = 384²).

The spelling of 146752704 in words is "one hundred forty-six million, seven hundred fifty-two thousand, seven hundred four".