136953000 has 96 divisors (see below), whose sum is σ = 462931560. Its totient is φ = 36518400.

The previous prime is 136952999. The next prime is 136953001. The reversal of 136953000 is 359631.

It is an interprime number because it is at equal distance from previous prime (136952999) and next prime (136953001).

It can be written as a sum of positive squares in 4 ways, for example, as 66292164 + 70660836 = 8142^2 + 8406^2 .

It is a super-2 number, since 2×136953000² = 37512248418000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136953001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392 + ... + 16608.

Almost surely, 2^136953000 is an apocalyptic number.

136953000 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 136953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231465780).

136953000 is an abundant number, since it is smaller than the sum of its proper divisors (325978560).

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

136953000 is a wasteful number, since it uses less digits than its factorization.

136953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 136953000 is about 11702.6919979977. The cubic root of 136953000 is about 515.4547151196.

The spelling of 136953000 in words is "one hundred thirty-six million, nine hundred fifty-three thousand".