145901952 has 256 divisors, whose sum is σ = 508531200. Its totient is φ = 40310784.

The previous prime is 145901933. The next prime is 145901971. The reversal of 145901952 is 259109541.

145901952 is a `hidden beast` number, since 1 + 4 + 590 + 19 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (145901933) and next prime (145901971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895023 + ... + 895185.

It is an arithmetic number, because the mean of its divisors is an integer number (1986450).

Almost surely, 2^145901952 is an apocalyptic number.

145901952 is a gapful number since it is divisible by the number (12) 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 145901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254265600).

145901952 is an abundant number, since it is smaller than the sum of its proper divisors (362629248).

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

145901952 is a wasteful number, since it uses less digits than its factorization.

145901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 145901952 is about 12078.9880370832. The cubic root of 145901952 is about 526.4458430833.

The spelling of 145901952 in words is "one hundred forty-five million, nine hundred one thousand, nine hundred fifty-two".