151012034016 has 96 divisors (see below), whose sum is σ = 411941376000. Its totient is φ = 48386480640.

The previous prime is 151012034011. The next prime is 151012034071. The reversal of 151012034016 is 610430210151.

It is a happy number.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151012034011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273145 + ... + 613703.

It is an arithmetic number, because the mean of its divisors is an integer number (4291056000).

Almost surely, 2^151012034016 is an apocalyptic number.

151012034016 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 151012034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205970688000).

151012034016 is an abundant number, since it is smaller than the sum of its proper divisors (260929341984).

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

151012034016 is a wasteful number, since it uses less digits than its factorization.

151012034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340752 (or 340744 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 151012034016 its reverse (610430210151), we get a palindrome (761442244167).

The spelling of 151012034016 in words is "one hundred fifty-one billion, twelve million, thirty-four thousand, sixteen".