151435602240 has 224 divisors, whose sum is σ = 518434076160. Its totient is φ = 37230329856.

The previous prime is 151435602221. The next prime is 151435602293. The reversal of 151435602240 is 42206534151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10688281 + ... + 10702439.

It is an arithmetic number, because the mean of its divisors is an integer number (2314437840).

Almost surely, 2^151435602240 is an apocalyptic number.

151435602240 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 151435602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259217038080).

151435602240 is an abundant number, since it is smaller than the sum of its proper divisors (366998473920).

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

151435602240 is a wasteful number, since it uses less digits than its factorization.

151435602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15049 (or 15039 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 151435602240 in words is "one hundred fifty-one billion, four hundred thirty-five million, six hundred two thousand, two hundred forty".