151698134016 has 1408 divisors, whose sum is σ = 583357662720. Its totient is φ = 38220595200.

The previous prime is 151698133957. The next prime is 151698134039. The reversal of 151698134016 is 610431896151.

151698134016 is a `hidden beast` number, since 1 + 5 + 169 + 81 + 3 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2486854626 + ... + 2486854686.

Almost surely, 2^151698134016 is an apocalyptic number.

151698134016 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 151698134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291678831360).

151698134016 is an abundant number, since it is smaller than the sum of its proper divisors (431659528704).

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

151698134016 is a wasteful number, since it uses less digits than its factorization.

151698134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 151698134016 in words is "one hundred fifty-one billion, six hundred ninety-eight million, one hundred thirty-four thousand, sixteen".