151260000 has 120 divisors (see below), whose sum is σ = 496359864. Its totient is φ = 40320000.

The previous prime is 151259987. The next prime is 151260001. The reversal of 151260000 is 62151.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151260001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58740 + ... + 61260.

Almost surely, 2^151260000 is an apocalyptic number.

151260000 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 151260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248179932).

151260000 is an abundant number, since it is smaller than the sum of its proper divisors (345099864).

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

151260000 is an equidigital number, since it uses as much as digits as its factorization.

151260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 151260000 is about 12298.7804273432. The cubic root of 151260000 is about 532.8128602979.

The spelling of 151260000 in words is "one hundred fifty-one million, two hundred sixty thousand".