151461024 has 288 divisors, whose sum is σ = 506761920. Its totient is φ = 39198720.

The previous prime is 151460993. The next prime is 151461031. The reversal of 151461024 is 420164151.

It is a happy number.

It is a super-2 number, since 2×151461024² = 45880883582257152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 151460985 and 151461003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567107 + ... + 2567165.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^151461024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151461024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380960).

151461024 is an abundant number, since it is smaller than the sum of its proper divisors (355300896).

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

151461024 is a wasteful number, since it uses less digits than its factorization.

151461024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 151461024 is about 12306.9502314749. The cubic root of 151461024 is about 533.0487912747.

The spelling of 151461024 in words is "one hundred fifty-one million, four hundred sixty-one thousand, twenty-four".