151346016 has 96 divisors (see below), whose sum is σ = 450938880. Its totient is φ = 49362048.

The previous prime is 151345993. The next prime is 151346023. The reversal of 151346016 is 610643151.

151346016 is a `hidden beast` number, since 1 + 51 + 3 + 4 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38745 + ... + 42471.

It is an arithmetic number, because the mean of its divisors is an integer number (4697280).

Almost surely, 2^151346016 is an apocalyptic number.

151346016 is a gapful number since it is divisible by the number (16) 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 151346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225469440).

151346016 is an abundant number, since it is smaller than the sum of its proper divisors (299592864).

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

151346016 is a wasteful number, since it uses less digits than its factorization.

151346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 151346016 is about 12302.2768624349. The cubic root of 151346016 is about 532.9138381867.

Adding to 151346016 its reverse (610643151), we get a palindrome (761989167).

The spelling of 151346016 in words is "one hundred fifty-one million, three hundred forty-six thousand, sixteen".