152106948 has 72 divisors (see below), whose sum is σ = 442478400. Its totient is φ = 43156800.

The previous prime is 152106947. The next prime is 152106949. The reversal of 152106948 is 849601251.

It is an interprime number because it is at equal distance from previous prime (152106947) and next prime (152106949).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152106947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35523 + ... + 39573.

Almost surely, 2^152106948 is an apocalyptic number.

152106948 is a gapful number since it is divisible by the number (18) 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 152106948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221239200).

152106948 is an abundant number, since it is smaller than the sum of its proper divisors (290371452).

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

152106948 is a wasteful number, since it uses less digits than its factorization.

152106948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152106948 is about 12333.1645574037. The cubic root of 152106948 is about 533.8054671628.

The spelling of 152106948 in words is "one hundred fifty-two million, one hundred six thousand, nine hundred forty-eight".