151233055461150 has 768 divisors, whose sum is σ = 437183450468352. Its totient is φ = 34268774400000.

The previous prime is 151233055461127. The next prime is 151233055461161. The reversal of 151233055461150 is 51164550332151.

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 383 ways as a sum of consecutive naturals, for example, 94461620350 + ... + 94461621950.

It is an arithmetic number, because the mean of its divisors is an integer number (569249284464).

Almost surely, 2^{151233055461150} is an apocalyptic number.

151233055461150 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 151233055461150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218591725234176).

151233055461150 is an abundant number, since it is smaller than the sum of its proper divisors (285950395007202).

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

151233055461150 is a wasteful number, since it uses less digits than its factorization.

151233055461150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 151233055461150 in words is "one hundred fifty-one trillion, two hundred thirty-three billion, fifty-five million, four hundred sixty-one thousand, one hundred fifty".