151264503510000 has 400 divisors, whose sum is σ = 490415691744000. Its totient is φ = 40162977792000.

The previous prime is 151264503509981. The next prime is 151264503510017. The reversal of 151264503510000 is 15305462151.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6559878471 + ... + 6559901529.

It is an arithmetic number, because the mean of its divisors is an integer number (1226039229360).

Almost surely, 2^{151264503510000} is an apocalyptic number.

151264503510000 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 151264503510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245207845872000).

151264503510000 is an abundant number, since it is smaller than the sum of its proper divisors (339151188234000).

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

151264503510000 is a wasteful number, since it uses less digits than its factorization.

151264503510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24026 (or 24005 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 151264503510000 its reverse (15305462151), we get a palindrome (151279808972151).

The spelling of 151264503510000 in words is "one hundred fifty-one trillion, two hundred sixty-four billion, five hundred three million, five hundred ten thousand".