146887104 has 168 divisors, whose sum is σ = 487271568. Its totient is φ = 38707200.

The previous prime is 146887099. The next prime is 146887109. The reversal of 146887104 is 401788641.

It is an interprime number because it is at equal distance from previous prime (146887099) and next prime (146887109).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146887109) 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, 121704 + ... + 122904.

It is an arithmetic number, because the mean of its divisors is an integer number (2900426).

Almost surely, 2^146887104 is an apocalyptic number.

146887104 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 146887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243635784).

146887104 is an abundant number, since it is smaller than the sum of its proper divisors (340384464).

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

146887104 is a wasteful number, since it uses less digits than its factorization.

146887104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 146887104 is about 12119.6990061635. The cubic root of 146887104 is about 527.6280668067.

The spelling of 146887104 in words is "one hundred forty-six million, eight hundred eighty-seven thousand, one hundred four".