146102106132 has 48 divisors (see below), whose sum is σ = 395252081280. Its totient is φ = 46583279424.

The previous prime is 146102106131. The next prime is 146102106133. The reversal of 146102106132 is 231601201641.

It is a happy number.

146102106132 is a `hidden beast` number, since 1 + 4 + 610 + 2 + 10 + 6 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (146102106131) and next prime (146102106133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146102106096 and 146102106105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146102106131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29406153 + ... + 29411120.

It is an arithmetic number, because the mean of its divisors is an integer number (8234418360).

Almost surely, 2^146102106132 is an apocalyptic number.

146102106132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146102106132 is an abundant number, since it is smaller than the sum of its proper divisors (249149975148).

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

146102106132 is a wasteful number, since it uses less digits than its factorization.

146102106132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58817309 (or 58817301 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 146102106132 its reverse (231601201641), we get a palindrome (377703307773).

The spelling of 146102106132 in words is "one hundred forty-six billion, one hundred two million, one hundred six thousand, one hundred thirty-two".