151001952 has 48 divisors (see below), whose sum is σ = 397393920. Its totient is φ = 50205312.

The previous prime is 151001881. The next prime is 151001953. The reversal of 151001952 is 259100151.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151001953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40353 + ... + 43935.

It is an arithmetic number, because the mean of its divisors is an integer number (8279040).

Almost surely, 2^151001952 is an apocalyptic number.

151001952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151001952 is an abundant number, since it is smaller than the sum of its proper divisors (246391968).

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

151001952 is a wasteful number, since it uses less digits than its factorization.

151001952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 151001952 is about 12288.2851529414. The cubic root of 151001952 is about 532.5096967530.

The spelling of 151001952 in words is "one hundred fifty-one million, one thousand, nine hundred fifty-two".