151561410 has 256 divisors, whose sum is σ = 503193600. Its totient is φ = 28788480.

The previous prime is 151561391. The next prime is 151561411. The reversal of 151561410 is 14165151.

It is a super-3 number, since 3×151561410³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151561411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1471419 + ... + 1471521.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^151561410 is an apocalyptic number.

151561410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151561410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

151561410 is an abundant number, since it is smaller than the sum of its proper divisors (351632190).

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

151561410 is a wasteful number, since it uses less digits than its factorization.

151561410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 151561410 is about 12311.0279830727. The cubic root of 151561410 is about 533.1665307364.

The spelling of 151561410 in words is "one hundred fifty-one million, five hundred sixty-one thousand, four hundred ten".