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141252000 = 2535379149
BaseRepresentation
bin10000110101101…
…01010110100000
3100211210100022120
420122311112200
5242130031000
622003304240
73333423261
oct1032652640
9324710276
10141252000
117280779a
123b37b080
1323358186
1414a8c968
15c6026a0
hex86b55a0

141252000 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 36940800.

The previous prime is 141251983. The next prime is 141252017. The reversal of 141252000 is 252141.

It is an interprime number because it is at equal distance from previous prime (141251983) and next prime (141252017).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 947926 + ... + 948074.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2141252000 is an apocalyptic number.

141252000 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 141252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

141252000 is an abundant number, since it is smaller than the sum of its proper divisors (330492000).

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

141252000 is a wasteful number, since it uses less digits than its factorization.

141252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 141252000 is about 11884.9484643393. The cubic root of 141252000 is about 520.7926766486.

The spelling of 141252000 in words is "one hundred forty-one million, two hundred fifty-two thousand".