146926752 has 48 divisors (see below), whose sum is σ = 440782272. Its totient is φ = 41978880.

The previous prime is 146926727. The next prime is 146926777. The reversal of 146926752 is 257629641.

It is an interprime number because it is at equal distance from previous prime (146926727) and next prime (146926777).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108649 + ... + 109992.

It is an arithmetic number, because the mean of its divisors is an integer number (9182964).

Almost surely, 2^146926752 is an apocalyptic number.

146926752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146926752 is an abundant number, since it is smaller than the sum of its proper divisors (293855520).

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

146926752 is a wasteful number, since it uses less digits than its factorization.

146926752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218661 (or 218653 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 146926752 is about 12121.3345799875. The cubic root of 146926752 is about 527.6755352708.

The spelling of 146926752 in words is "one hundred forty-six million, nine hundred twenty-six thousand, seven hundred fifty-two".