153346313440 has 96 divisors (see below), whose sum is σ = 370806678144. Its totient is φ = 59900743680.

The previous prime is 153346313423. The next prime is 153346313441. The reversal of 153346313440 is 44313643351.

It is a self number, because there is not a number n which added to its sum of digits gives 153346313440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153346313441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3414330 + ... + 3458950.

It is an arithmetic number, because the mean of its divisors is an integer number (3862569564).

Almost surely, 2^153346313440 is an apocalyptic number.

153346313440 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 153346313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185403339072).

153346313440 is an abundant number, since it is smaller than the sum of its proper divisors (217460364704).

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

153346313440 is a wasteful number, since it uses less digits than its factorization.

153346313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45140 (or 45132 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 153346313440 its reverse (44313643351), we get a palindrome (197659956791).

The spelling of 153346313440 in words is "one hundred fifty-three billion, three hundred forty-six million, three hundred thirteen thousand, four hundred forty".