151514241440 has 72 divisors (see below), whose sum is σ = 377783697060. Its totient is φ = 57415901184.

The previous prime is 151514241413. The next prime is 151514241449. The reversal of 151514241440 is 44142415151.

151514241440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 146312370064 + 5201871376 = 382508^2 + 72124^2 .

It is a super-2 number, since 2×151514241440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 151514241397 and 151514241406.

It is not an unprimeable number, because it can be changed into a prime (151514241449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253825 + ... + 1369344.

Almost surely, 2^151514241440 is an apocalyptic number.

151514241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151514241440 is an abundant number, since it is smaller than the sum of its proper divisors (226269455620).

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

151514241440 is a wasteful number, since it uses less digits than its factorization.

151514241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623222 (or 2623195 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 151514241440 its reverse (44142415151), we get a palindrome (195656656591).

The spelling of 151514241440 in words is "one hundred fifty-one billion, five hundred fourteen million, two hundred forty-one thousand, four hundred forty".