151404166000 has 80 divisors (see below), whose sum is σ = 366311911680. Its totient is φ = 60525830400.

The previous prime is 151404165973. The next prime is 151404166007. The reversal of 151404166000 is 661404151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 151404166000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151404166007) 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, 3496482 + ... + 3539518.

It is an arithmetic number, because the mean of its divisors is an integer number (4578898896).

Almost surely, 2^151404166000 is an apocalyptic number.

151404166000 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 151404166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183155955840).

151404166000 is an abundant number, since it is smaller than the sum of its proper divisors (214907745680).

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

151404166000 is a wasteful number, since it uses less digits than its factorization.

151404166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44819 (or 44803 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 151404166000 in words is "one hundred fifty-one billion, four hundred four million, one hundred sixty-six thousand".