151408654905312 has 1296 divisors, whose sum is σ = 533115009449568. Its totient is φ = 42190878965760.

The previous prime is 151408654905311. The next prime is 151408654905353. The reversal of 151408654905312 is 213509456804151.

151408654905312 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 0 + 8 + 65 + 49 + 0 + 531 + 2 = 666.

151408654905312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151408654905311) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 70851030708 + ... + 70851032844.

It is an arithmetic number, because the mean of its divisors is an integer number (411354173958).

Almost surely, 2^{151408654905312} is an apocalyptic number.

151408654905312 is a gapful number since it is divisible by the number (12) 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 151408654905312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266557504724784).

151408654905312 is an abundant number, since it is smaller than the sum of its proper divisors (381706354544256).

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

151408654905312 is an frugal number, since it uses more digits than its factorization.

151408654905312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 151408654905312 in words is "one hundred fifty-one trillion, four hundred eight billion, six hundred fifty-four million, nine hundred five thousand, three hundred twelve".