340152145020 has 144 divisors (see below), whose sum is σ = 1045015826400. Its totient is φ = 89550144000.

The previous prime is 340152145013. The next prime is 340152145033. The reversal of 340152145020 is 20541251043.

340152145020 is a `hidden beast` number, since 3 + 4 + 0 + 152 + 1 + 4 + 502 + 0 = 666.

It is a super-2 number, since 2×340152145020² (a number of 24 digits) contains 22 as substring.

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, 6318015 + ... + 6371625.

It is an arithmetic number, because the mean of its divisors is an integer number (7257054350).

Almost surely, 2^340152145020 is an apocalyptic number.

340152145020 is a gapful number since it is divisible by the number (30) 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 340152145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522507913200).

340152145020 is an abundant number, since it is smaller than the sum of its proper divisors (704863681380).

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

340152145020 is a wasteful number, since it uses less digits than its factorization.

340152145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54076 (or 54071 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 340152145020 its reverse (20541251043), we get a palindrome (360693396063).

The spelling of 340152145020 in words is "three hundred forty billion, one hundred fifty-two million, one hundred forty-five thousand, twenty".