151324105440 has 384 divisors, whose sum is σ = 499353289344. Its totient is φ = 38486016000.

The previous prime is 151324105421. The next prime is 151324105441. The reversal of 151324105440 is 44501423151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151324105398 and 151324105407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151324105441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279711570 + ... + 279712110.

It is an arithmetic number, because the mean of its divisors is an integer number (1300399191).

Almost surely, 2^151324105440 is an apocalyptic number.

151324105440 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 151324105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249676644672).

151324105440 is an abundant number, since it is smaller than the sum of its proper divisors (348029183904).

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

151324105440 is a wasteful number, since it uses less digits than its factorization.

151324105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 151324105440 its reverse (44501423151), we get a palindrome (195825528591).

The spelling of 151324105440 in words is "one hundred fifty-one billion, three hundred twenty-four million, one hundred five thousand, four hundred forty".