151406506350 has 288 divisors, whose sum is σ = 459078617088. Its totient is φ = 35442720000.

The previous prime is 151406506259. The next prime is 151406506393. The reversal of 151406506350 is 53605604151.

151406506350 is a `hidden beast` number, since 1 + 5 + 14 + 0 + 6 + 5 + 0 + 635 + 0 = 666.

It is a super-3 number, since 3×151406506350³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100202095 + ... + 100203605.

It is an arithmetic number, because the mean of its divisors is an integer number (1594022976).

Almost surely, 2^151406506350 is an apocalyptic number.

151406506350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151406506350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229539308544).

151406506350 is an abundant number, since it is smaller than the sum of its proper divisors (307672110738).

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

151406506350 is a wasteful number, since it uses less digits than its factorization.

151406506350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

It can be divided in two parts, 151406 and 506350, that added together give a palindrome (657756).

The spelling of 151406506350 in words is "one hundred fifty-one billion, four hundred six million, five hundred six thousand, three hundred fifty".