151056900 has 180 divisors, whose sum is σ = 518943348. Its totient is φ = 37877760.

The previous prime is 151056863. The next prime is 151056937. The reversal of 151056900 is 9650151.

It is an interprime number because it is at equal distance from previous prime (151056863) and next prime (151056937).

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 149377284 = 1296^2 + 12222^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×151056900² = 45636374075220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137152 + ... + 138248.

Almost surely, 2^151056900 is an apocalyptic number.

151056900 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 151056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259471674).

151056900 is an abundant number, since it is smaller than the sum of its proper divisors (367886448).

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

151056900 is a wasteful number, since it uses less digits than its factorization.

151056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 151056900 is about 12290.5207375440. The cubic root of 151056900 is about 532.5742804532.

The spelling of 151056900 in words is "one hundred fifty-one million, fifty-six thousand, nine hundred".