146057885036640 has 288 divisors, whose sum is σ = 520686217711296. Its totient is φ = 37212856750080.

The previous prime is 146057885036627. The next prime is 146057885036647. The reversal of 146057885036640 is 46630588750641.

146057885036640 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 5 + 7 + 88 + 503 + 6 + 6 + 40 = 666.

146057885036640 is digitally balanced in base 3, 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 (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146057885036647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26532010 + ... + 31560470.

It is an arithmetic number, because the mean of its divisors is an integer number (1807938255942).

Almost surely, 2^{146057885036640} is an apocalyptic number.

146057885036640 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 146057885036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260343108855648).

146057885036640 is an abundant number, since it is smaller than the sum of its proper divisors (374628332674656).

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

146057885036640 is a wasteful number, since it uses less digits than its factorization.

146057885036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029382 (or 5029371 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 146057885036640 in words is "one hundred forty-six trillion, fifty-seven billion, eight hundred eighty-five million, thirty-six thousand, six hundred forty".