146401956 has 18 divisors (see below), whose sum is σ = 370071702. Its totient is φ = 48800640.

The previous prime is 146401949. The next prime is 146401963. The reversal of 146401956 is 659104641.

146401956 is a `hidden beast` number, since 1 + 4 + 640 + 1 + 9 + 5 + 6 = 666.

146401956 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146401949) and next prime (146401963).

It can be written as a sum of positive squares in only one way, i.e., 79816356 + 66585600 = 8934^2 + 8160^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×146401956³ (a number of 25 digits) contains 333 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), and also a Moran number because the ratio is a prime number: 4066721 = 146401956 / (1 + 4 + 6 + 4 + 0 + 1 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 146401956.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2033325 + ... + 2033396.

It is an arithmetic number, because the mean of its divisors is an integer number (20559539).

Almost surely, 2^146401956 is an apocalyptic number.

It is an amenable number.

146401956 is an abundant number, since it is smaller than the sum of its proper divisors (223669746).

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

146401956 is a wasteful number, since it uses less digits than its factorization.

146401956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066731 (or 4066726 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 146401956 is about 12099.6675987401. The cubic root of 146401956 is about 527.0465316630.

The spelling of 146401956 in words is "one hundred forty-six million, four hundred one thousand, nine hundred fifty-six".