151004160 has 264 divisors, whose sum is σ = 546057720. Its totient is φ = 38535168.

The previous prime is 151004101. The next prime is 151004171. The reversal of 151004160 is 61400151.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 150994944 = 96^2 + 12288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336264 + ... + 1336376.

Almost surely, 2^151004160 is an apocalyptic number.

151004160 is a gapful number since it is divisible by the number (10) 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 151004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273028860).

151004160 is an abundant number, since it is smaller than the sum of its proper divisors (395053560).

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

151004160 is a wasteful number, since it uses less digits than its factorization.

151004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151004160 is about 12288.3749942781. The cubic root of 151004160 is about 532.5122922508.

The spelling of 151004160 in words is "one hundred fifty-one million, four thousand, one hundred sixty".