146413001226240 has 1536 divisors, whose sum is σ = 631869638400000. Its totient is φ = 31412742782976.

The previous prime is 146413001226223. The next prime is 146413001226257. The reversal of 146413001226240 is 42622100314641.

146413001226240 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 1 + 3 + 0 + 0 + 1 + 22 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146413001226223) and next prime (146413001226257).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146413001226195 and 146413001226204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4008112296 + ... + 4008148824.

It is an arithmetic number, because the mean of its divisors is an integer number (411373462500).

Almost surely, 2^{146413001226240} is an apocalyptic number.

146413001226240 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 146413001226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315934819200000).

146413001226240 is an abundant number, since it is smaller than the sum of its proper divisors (485456637173760).

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

146413001226240 is a wasteful number, since it uses less digits than its factorization.

146413001226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36700 (or 36674 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 146413001226240 in words is "one hundred forty-six trillion, four hundred thirteen billion, one million, two hundred twenty-six thousand, two hundred forty".