152951040 has 432 divisors, whose sum is σ = 619871616. Its totient is φ = 34406400.

The previous prime is 152951009. The next prime is 152951077. The reversal of 152951040 is 40159251.

It is a junction number, because it is equal to n+sod(n) for n = 152950995 and 152951013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154205 + ... + 2154275.

It is an arithmetic number, because the mean of its divisors is an integer number (1434888).

Almost surely, 2^152951040 is an apocalyptic number.

152951040 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 152951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309935808).

152951040 is an abundant number, since it is smaller than the sum of its proper divisors (466920576).

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

152951040 is a wasteful number, since it uses less digits than its factorization.

152951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152951040 is about 12367.3376278001. The cubic root of 152951040 is about 534.7910675709.

The spelling of 152951040 in words is "one hundred fifty-two million, nine hundred fifty-one thousand, forty".