146137752 has 48 divisors (see below), whose sum is σ = 397837440. Its totient is φ = 48460608.

The previous prime is 146137741. The next prime is 146137769. The reversal of 146137752 is 257731641.

It is a happy number.

146137752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146137752² = 42712485119227008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9033 + ... + 19335.

It is an arithmetic number, because the mean of its divisors is an integer number (8288280).

Almost surely, 2^146137752 is an apocalyptic number.

146137752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146137752 is an abundant number, since it is smaller than the sum of its proper divisors (251699688).

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

146137752 is a wasteful number, since it uses less digits than its factorization.

146137752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10505 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 146137752 is about 12088.7448479981. The cubic root of 146137752 is about 526.7292962604.

The spelling of 146137752 in words is "one hundred forty-six million, one hundred thirty-seven thousand, seven hundred fifty-two".