151426900 has 36 divisors (see below), whose sum is σ = 330533532. Its totient is φ = 60213760.

The previous prime is 151426897. The next prime is 151426907. The reversal of 151426900 is 9624151.

It can be written as a sum of positive squares in 6 ways, for example, as 13927824 + 137499076 = 3732^2 + 11726^2 .

It is a super-2 number, since 2×151426900² = 45860212087220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151426907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12924 + ... + 21676.

It is an arithmetic number, because the mean of its divisors is an integer number (9181487).

Almost surely, 2^151426900 is an apocalyptic number.

151426900 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 151426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165266766).

151426900 is an abundant number, since it is smaller than the sum of its proper divisors (179106632).

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

151426900 is a wasteful number, since it uses less digits than its factorization.

151426900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 151426900 is about 12305.5637822897. The cubic root of 151426900 is about 533.0087565017.

The spelling of 151426900 in words is "one hundred fifty-one million, four hundred twenty-six thousand, nine hundred".