151201080 has 160 divisors (see below), whose sum is σ = 530560800. Its totient is φ = 38548224.

The previous prime is 151201079. The next prime is 151201081. The reversal of 151201080 is 80102151.

It is an interprime number because it is at equal distance from previous prime (151201079) and next prime (151201081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151201081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73506 + ... + 75534.

It is an arithmetic number, because the mean of its divisors is an integer number (3316005).

Almost surely, 2^151201080 is an apocalyptic number.

151201080 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 151201080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265280400).

151201080 is an abundant number, since it is smaller than the sum of its proper divisors (379359720).

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

151201080 is a wasteful number, since it uses less digits than its factorization.

151201080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 151201080 is about 12296.3848345764. The cubic root of 151201080 is about 532.7436694768.

The spelling of 151201080 in words is "one hundred fifty-one million, two hundred one thousand, eighty".