146087040 has 128 divisors (see below), whose sum is σ = 508057920. Its totient is φ = 35409920.

The previous prime is 146087033. The next prime is 146087047. The reversal of 146087040 is 40780641.

It is an interprime number because it is at equal distance from previous prime (146087033) and next prime (146087047).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146086989 and 146087007.

It is not an unprimeable number, because it can be changed into a prime (146087047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17662 + ... + 24578.

Almost surely, 2^146087040 is an apocalyptic number.

146087040 is a gapful number since it is divisible by the number (10) 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 146087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254028960).

146087040 is an abundant number, since it is smaller than the sum of its proper divisors (361970880).

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

146087040 is a wasteful number, since it uses less digits than its factorization.

146087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 146087040 is about 12086.6471777743. The cubic root of 146087040 is about 526.6683615463.

The spelling of 146087040 in words is "one hundred forty-six million, eighty-seven thousand, forty".