146402640 has 240 divisors, whose sum is σ = 541090368. Its totient is φ = 36661248.

The previous prime is 146402629. The next prime is 146402653. The reversal of 146402640 is 46204641.

146402640 is a `hidden beast` number, since 14 + 6 + 4 + 0 + 2 + 640 = 666.

146402640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330259 + ... + 330701.

Almost surely, 2^146402640 is an apocalyptic number.

146402640 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 146402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270545184).

146402640 is an abundant number, since it is smaller than the sum of its proper divisors (394687728).

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

146402640 is a wasteful number, since it uses less digits than its factorization.

146402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 146402640 is about 12099.6958639463. The cubic root of 146402640 is about 527.0473524610.

The spelling of 146402640 in words is "one hundred forty-six million, four hundred two thousand, six hundred forty".